384007992 has 32 divisors (see below), whose sum is σ = 964051200. Its totient is φ = 127465184.

The previous prime is 384007979. The next prime is 384008003. The reversal of 384007992 is 299700483.

384007992 is a modest number, since divided by 7992 gives 384 as remainder.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27738 + ... + 39209.

It is an arithmetic number, because the mean of its divisors is an integer number (30126600).

Almost surely, 2^384007992 is an apocalyptic number.

It is an amenable number.

384007992 is an abundant number, since it is smaller than the sum of its proper divisors (580043208).

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

384007992 is a wasteful number, since it uses less digits than its factorization.

384007992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67195 (or 67191 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The square root of 384007992 is about 19596.1218612255. The cubic root of 384007992 is about 726.8532796075.

The spelling of 384007992 in words is "three hundred eighty-four million, seven thousand, nine hundred ninety-two".