384856704 has 128 divisors (see below), whose sum is σ = 1195848000. Its totient is φ = 121512960.

The previous prime is 384856697. The next prime is 384856733. The reversal of 384856704 is 407658483.

384856704 is a `hidden beast` number, since 3 + 84 + 8 + 567 + 0 + 4 = 666.

384856704 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 (128).

It is a super-2 number, since 2×384856704² = 296229365227487232, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 384856704.

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, 62734 + ... + 68594.

Almost surely, 2^384856704 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 384856704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (597924000).

384856704 is an abundant number, since it is smaller than the sum of its proper divisors (810991296).

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

384856704 is a wasteful number, since it uses less digits than its factorization.

384856704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5903 (or 5885 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 384856704 is about 19617.7650103165. The cubic root of 384856704 is about 727.3883684598.

The spelling of 384856704 in words is "three hundred eighty-four million, eight hundred fifty-six thousand, seven hundred four".