384096384 has 128 divisors (see below), whose sum is σ = 1295644800. Its totient is φ = 109734912.

The previous prime is 384096367. The next prime is 384096397. The reversal of 384096384 is 483690483.

384096384 is a `hidden beast` number, since 3 + 8 + 4 + 0 + 9 + 638 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a nialpdrome in base 12.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16254 + ... + 32130.

It is an arithmetic number, because the mean of its divisors is an integer number (10122225).

Almost surely, 2^384096384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 384096384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (647822400).

384096384 is an abundant number, since it is smaller than the sum of its proper divisors (911548416).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

384096384 is a wasteful number, since it uses less digits than its factorization.

384096384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15907 (or 15889 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 384096384 is about 19598.3770756662. The cubic root of 384096384 is about 726.9090450147.

The spelling of 384096384 in words is "three hundred eighty-four million, ninety-six thousand, three hundred eighty-four".