31279475968 has 144 divisors (see below), whose sum is σ = 71881560576. Its totient is φ = 13470842880.

The previous prime is 31279475891. The next prime is 31279475993. The reversal of 31279475968 is 86957497213.

It is a Smith number, since the sum of its digits (61) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3133321 + ... + 3143287.

It is an arithmetic number, because the mean of its divisors is an integer number (499177504).

Almost surely, 2^31279475968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31279475968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35940780288).

31279475968 is an abundant number, since it is smaller than the sum of its proper divisors (40602084608).

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

31279475968 is a wasteful number, since it uses less digits than its factorization.

31279475968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10060 (or 10046 counting only the distinct ones).

The product of its digits is 22861440, while the sum is 61.

The spelling of 31279475968 in words is "thirty-one billion, two hundred seventy-nine million, four hundred seventy-five thousand, nine hundred sixty-eight".