It is a Jordan-Polya number, since it can be written as 4! ⋅ (2!)4.
It is a double factorial (384 = 8 !! = 2 ⋅ 4 ⋅ 6 ⋅ 8 ).
384 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (16).
It is an ABA number since it can be written as A⋅BA, here for A=6, B=2.
It is a plaindrome in base 9 and base 13.
It is a nialpdrome in base 2 and base 8.
It is a zygodrome in base 2.
It is a congruent number.
In principle, a polygon with 384 sides can be constructed with ruler and compass.
2384 is an apocalyptic number.
It is an amenable number.
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
384 is an equidigital number, since it uses as much as digits as its factorization.
384 is an evil number, because the sum of its binary digits is even.
The square root of 384 is about 19.5959179423. The cubic root of 384 is about 7.2684823713.
The spelling of 384 in words is "three hundred eighty-four", and is thus an aban number.