31296009672 has 72 divisors (see below), whose sum is σ = 84980732850. Its totient is φ = 10404893952.

The previous prime is 31296009599. The next prime is 31296009673. The reversal of 31296009672 is 27690069213.

It is a happy number.

31296009672 is a `hidden beast` number, since 31 + 2 + 9 + 600 + 9 + 6 + 7 + 2 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 25107670116 + 6188339556 = 158454^2 + 78666^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (31296009673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 38684404 + ... + 38685212.

Almost surely, 2^31296009672 is an apocalyptic number.

It is an amenable number.

31296009672 is an abundant number, since it is smaller than the sum of its proper divisors (53684723178).

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

31296009672 is an equidigital number, since it uses as much as digits as its factorization.

31296009672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2287 (or 1547 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The spelling of 31296009672 in words is "thirty-one billion, two hundred ninety-six million, nine thousand, six hundred seventy-two".