3386304864 has 36 divisors (see below), whose sum is σ = 9629805276. Its totient is φ = 1128768192.

The previous prime is 3386304829. The next prime is 3386304877. The reversal of 3386304864 is 4684036833.

3386304864 is a `hidden beast` number, since 3 + 3 + 8 + 630 + 4 + 8 + 6 + 4 = 666.

3386304864 is digitally balanced in base 2, 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 (36).

It is a super-2 number, since 2×3386304864² = 22934121263900116992, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5878714 + ... + 5879289.

It is an arithmetic number, because the mean of its divisors is an integer number (267494591).

Almost surely, 2^3386304864 is an apocalyptic number.

It is an amenable number.

3386304864 is an abundant number, since it is smaller than the sum of its proper divisors (6243500412).

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

3386304864 is a wasteful number, since it uses less digits than its factorization.

3386304864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11758019 (or 11758008 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The square root of 3386304864 is about 58191.9656310044. The cubic root of 3386304864 is about 1501.6729281806.

The spelling of 3386304864 in words is "three billion, three hundred eighty-six million, three hundred four thousand, eight hundred sixty-four".