3289972513824 has 72 divisors (see below), whose sum is σ = 9848273001840. Its totient is φ = 1038938686848.

The previous prime is 3289972513811. The next prime is 3289972513859. The reversal of 3289972513824 is 4283152799823.

3289972513824 is a `hidden beast` number, since 3 + 2 + 8 + 9 + 97 + 2 + 513 + 8 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×3289972513824² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 300613362 + ... + 300624305.

It is an arithmetic number, because the mean of its divisors is an integer number (136781569470).

Almost surely, 2^{3289972513824} is an apocalyptic number.

It is an amenable number.

3289972513824 is an abundant number, since it is smaller than the sum of its proper divisors (6558300488016).

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

3289972513824 is a wasteful number, since it uses less digits than its factorization.

3289972513824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 601237702 (or 601237691 counting only the distinct ones).

The product of its digits is 52254720, while the sum is 63.

The spelling of 3289972513824 in words is "three trillion, two hundred eighty-nine billion, nine hundred seventy-two million, five hundred thirteen thousand, eight hundred twenty-four".