384064704 has 168 divisors, whose sum is σ = 1151948928. Its totient is φ = 122204160.

The previous prime is 384064687. The next prime is 384064711. The reversal of 384064704 is 407460483.

384064704 is a `hidden beast` number, since 3 + 8 + 4 + 0 + 647 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2446194 + ... + 2446350.

Almost surely, 2^384064704 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 384064704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (575974464).

384064704 is an abundant number, since it is smaller than the sum of its proper divisors (767884224).

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

384064704 is a wasteful number, since it uses less digits than its factorization.

384064704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 384064704 is about 19597.5688288114. The cubic root of 384064704 is about 726.8890594827.

The spelling of 384064704 in words is "three hundred eighty-four million, sixty-four thousand, seven hundred four".