3129097635328 has 80 divisors (see below), whose sum is σ = 7565546872224. Its totient is φ = 1262157004800.

The previous prime is 3129097635317. The next prime is 3129097635329. The reversal of 3129097635328 is 8235367909213.

It is a super-2 number, since 2×3129097635328² (a number of 26 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (58) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3129097635329) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25617723 + ... + 25739578.

Almost surely, 2^{3129097635328} is an apocalyptic number.

It is an amenable number.

3129097635328 is an abundant number, since it is smaller than the sum of its proper divisors (4436449236896).

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

3129097635328 is an equidigital number, since it uses as much as digits as its factorization.

3129097635328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51357343 (or 51357327 counting only the distinct ones).

The product of its (nonzero) digits is 14696640, while the sum is 58.

The spelling of 3129097635328 in words is "three trillion, one hundred twenty-nine billion, ninety-seven million, six hundred thirty-five thousand, three hundred twenty-eight".