384096768 has 160 divisors (see below), whose sum is σ = 1131356160. Its totient is φ = 114831360.

The previous prime is 384096763. The next prime is 384096857. The reversal of 384096768 is 867690483.

It is a self number, because there is not a number n which added to its sum of digits gives 384096768.

It is not an unprimeable number, because it can be changed into a prime (384096763) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2145703 + ... + 2145881.

It is an arithmetic number, because the mean of its divisors is an integer number (7070976).

Almost surely, 2^384096768 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 384096768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565678080).

384096768 is an abundant number, since it is smaller than the sum of its proper divisors (747259392).

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

384096768 is a wasteful number, since it uses less digits than its factorization.

384096768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 51.

The square root of 384096768 is about 19598.3868723934. The cubic root of 384096768 is about 726.9092872569.

The spelling of 384096768 in words is "three hundred eighty-four million, ninety-six thousand, seven hundred sixty-eight".