We have investigated how helium atoms are distributed within a mixed 3 He N3 -4 He N4 large drop with N 3 ¿ N 4 . For drops doped with a SF 6 molecule or a Xe atom, we have found that the number of 3 He atoms within the volume containing the first two solvation shells increases when N 4 decreases in such a way that these dopants may be in a superfluid environment for N 4 $ 60, which gradually disappears as N 4 decreases. The result is in qualitative agreement with recent experimental data.[ S0031-9007(99) [7] Monte Carlo calculations. It is remarkable that the presence of the impurity, which causes the 4 He density to rise up to several times the saturation value, is not destroying its superfluid character, and that, in spite of the high densities reached, the first solvation shell remains liquid [8]. An indication of this fluidlike behavior is that the peak density in the first solvation shell continues to increase as the second shell grows [9].Even if the intrepretation of the microscopic Andronikashvili experiment is on a firm basis, a remaining major question is how 3 He is distributed around the 4 Heplus-impurity complex, and, in general, how liquid 3 He is dissolved into 4 He droplets at very low temperatures. These are the questions we want to address in this paper.At zero temperature, it is known that the maximum solubility of 3 He in the bulk of 4 He is ϳ6.6% [10]. For liquid 4 He systems having a free surface, it is also known that a large amount of 3 He is accumulated on the free surface occupying Andreev states [11,12] before it starts being dissolved into the bulk. In the case of drops made of up to several thousand atoms, the surface region constitutes a sizeable part of the system [13], and the surface has a large capacity for storing 3 He atoms before they get inside the drop [14]. Because of the wide free surface of both isotopes [15,16] and the low surface tension of the 3 He-4 He liquid interface [17], one expects that this region plays a prominent role when it constitutes a large part of the system or, as in the present case, when it is close to the dopant atom or molecule.The structure and energetics of mixed, doped or not, helium droplets have been addressed using a finite-range density functional method [14]. That work was carried out before the experiments reported in Ref. [1], and the emphasis was put on improving the density functional method to better describe the thermodynamical properties of the liquid mixture, and to study rather small mixed droplets with N 4 ¿ N 3 . Our main goal here is to apply the density functional method to droplets whose characteristics are closer to those of the experiments, with the restriction of spherical symmetry for the He-impurity potential for the sake of simplicity. We have considered Xe and SF 6 as dopants, using for the latter a spherically averaged interaction potential. The Xe-He potential is weaker than the SF 6 -He potential. In this respect, our results for that atomic impurity should better represent the experimental ones for OCS even if thi...