3129460900 has 36 divisors (see below), whose sum is σ = 6797853972. Its totient is φ = 1250508160.

The previous prime is 3129460849. The next prime is 3129460909. The reversal of 3129460900 is 90649213.

It can be written as a sum of positive squares in 6 ways, for example, as 920272896 + 2209188004 = 30336^2 + 47002^2 .

It is not an unprimeable number, because it can be changed into a prime (3129460909) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 85854 + ... + 116746.

It is an arithmetic number, because the mean of its divisors is an integer number (188829277).

Almost surely, 2^3129460900 is an apocalyptic number.

It is an amenable number.

3129460900 is an abundant number, since it is smaller than the sum of its proper divisors (3668393072).

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

3129460900 is a wasteful number, since it uses less digits than its factorization.

3129460900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31920 (or 31913 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 34.

The square root of 3129460900 is about 55941.5847111967. The cubic root of 3129460900 is about 1462.7042050556.

The spelling of 3129460900 in words is "three billion, one hundred twenty-nine million, four hundred sixty thousand, nine hundred".