Fatto generale: 4361 is a number for which we're missing a fact (submit one to numbersapi at google mail!).
Fatto matematico: 4361 is the number of different degree sequences for graphs with 9 vertices.
Trivia: 4361 is an uninteresting number.
Data storica: December 9th is the day in 1946 that the "Subsequent Nuremberg Trials" begin with the "Doctors' Trial", prosecuting doctors alleged to be involved in human experimentation.