N360 is taken. It's currently assigned to a 1990 Bombardier Inc CL-600-2B16 registered in Sheridan, WY.
See the full aircraft record →A tail number only frees up if the owner deregisters the aircraft or moves it to a different N-number — and even then the FAA holds it before releasing it to the public.
N360 has been worn before. Past registrations from FAA deregistration records: