3129906632616 has 48 divisors (see below), whose sum is σ = 8478654736500. Its totient is φ = 1043077684992.

The previous prime is 3129906632561. The next prime is 3129906632623. The reversal of 3129906632616 is 6162366099213.

3129906632616 is a `hidden beast` number, since 3 + 12 + 9 + 9 + 0 + 6 + 6 + 3 + 2 + 616 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3129905875716 + 756900 = 1769154^2 + 870^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4340571 + ... + 5010026.

Almost surely, 2^{3129906632616} is an apocalyptic number.

3129906632616 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3129906632616 is an abundant number, since it is smaller than the sum of its proper divisors (5348748103884).

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

3129906632616 is a wasteful number, since it uses less digits than its factorization.

3129906632616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9355258 (or 9355251 counting only the distinct ones).

The product of its (nonzero) digits is 3779136, while the sum is 54.

The spelling of 3129906632616 in words is "three trillion, one hundred twenty-nine billion, nine hundred six million, six hundred thirty-two thousand, six hundred sixteen".