3129664297032 has 192 divisors, whose sum is σ = 10981278672000. Its totient is φ = 781963517952.

The previous prime is 3129664297031. The next prime is 3129664297169. The reversal of 3129664297032 is 2307924669213.

3129664297032 is a `hidden beast` number, since 3 + 1 + 296 + 64 + 297 + 0 + 3 + 2 = 666.

It is a super-3 number, since 3×3129664297032³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 3129664297032.

It is not an unprimeable number, because it can be changed into a prime (3129664297031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12445657 + ... + 12694632.

It is an arithmetic number, because the mean of its divisors is an integer number (57194159750).

Almost surely, 2^{3129664297032} is an apocalyptic number.

It is an amenable number.

3129664297032 is an abundant number, since it is smaller than the sum of its proper divisors (7851614374968).

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

3129664297032 is a wasteful number, since it uses less digits than its factorization.

3129664297032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25140340 (or 25140333 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 54.

The spelling of 3129664297032 in words is "three trillion, one hundred twenty-nine billion, six hundred sixty-four million, two hundred ninety-seven thousand, thirty-two".