3296838742560 has 144 divisors (see below), whose sum is σ = 12273231559680. Its totient is φ = 799233630720.

The previous prime is 3296838742523. The next prime is 3296838742591. The reversal of 3296838742560 is 652478386923.

It is a happy number.

3296838742560 is a `hidden beast` number, since 3 + 2 + 9 + 68 + 3 + 8 + 7 + 4 + 2 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 104051040 + ... + 104082719.

It is an arithmetic number, because the mean of its divisors is an integer number (85230774720).

Almost surely, 2^{3296838742560} is an apocalyptic number.

3296838742560 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3296838742560 is an abundant number, since it is smaller than the sum of its proper divisors (8976392817120).

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

3296838742560 is a wasteful number, since it uses less digits than its factorization.

3296838742560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208133791 (or 208133780 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 63.

The spelling of 3296838742560 in words is "three trillion, two hundred ninety-six billion, eight hundred thirty-eight million, seven hundred forty-two thousand, five hundred sixty".