31329677472 has 96 divisors (see below), whose sum is σ = 84305370240. Its totient is φ = 10184232960.

The previous prime is 31329677459. The next prime is 31329677537. The reversal of 31329677472 is 27477692313.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

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, 598597 + ... + 648827.

It is an arithmetic number, because the mean of its divisors is an integer number (878180940).

Almost surely, 2^31329677472 is an apocalyptic number.

31329677472 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31329677472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42152685120).

31329677472 is an abundant number, since it is smaller than the sum of its proper divisors (52975692768).

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

31329677472 is a wasteful number, since it uses less digits than its factorization.

31329677472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50406 (or 50398 counting only the distinct ones).

The product of its digits is 2667168, while the sum is 51.

The spelling of 31329677472 in words is "thirty-one billion, three hundred twenty-nine million, six hundred seventy-seven thousand, four hundred seventy-two".