We have examined the magnetic anisotropy of the "heat-treated FePt nanoparticles" annealed in a magnetic field. The magnetic easy axis of the "heat-treated FePt nanoparticles" is found to be three-dimensional (3-D) random and a partial ordering fct structure is observed before annealing in the presence of a magnetic field. The value of M-r/M-s obtained is 0.5. After annealing in the presence of a magnetic field, the M-H loop indicates that the easy axis is oriented preferably in the perpendicular direction than along the in-plane direction. The value of H-c(//) /H-c (perpendicular to) at 10 K is 0.62 (1410 Oe/2250 Oe). The value of M-r/M-s(perpendicular to) is 0.58 at 10 K larger than the value of M-r/M-s(//). Therefore, a weak magnetic easy axis orientation is fundamentally possible on the chemically synthesized FePt nanoparticles. We have studied the recording characteristics of a 3-D random nanoparticle medium using a GUZIK spinstand and observed the recorded patterns for the medium by imaging with a magnetic force microscopy.