3296301300864 has 768 divisors, whose sum is σ = 11448689091840. Its totient is φ = 896945356800.

The previous prime is 3296301300833. The next prime is 3296301300889. The reversal of 3296301300864 is 4680031036923.

3296301300864 is a `hidden beast` number, since 3 + 2 + 9 + 630 + 1 + 3 + 0 + 0 + 8 + 6 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4005225957 + ... + 4005226779.

It is an arithmetic number, because the mean of its divisors is an integer number (14907147255).

Almost surely, 2^{3296301300864} 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 3296301300864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5724344545920).

3296301300864 is an abundant number, since it is smaller than the sum of its proper divisors (8152387790976).

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

3296301300864 is a wasteful number, since it uses less digits than its factorization.

3296301300864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1501 (or 1486 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 3296301300864 in words is "three trillion, two hundred ninety-six billion, three hundred one million, three hundred thousand, eight hundred sixty-four".