31610643372 has 144 divisors (see below), whose sum is σ = 100070111232. Its totient is φ = 8173578240.

The previous prime is 31610643371. The next prime is 31610643413. The reversal of 31610643372 is 27334601613.

31610643372 is a `hidden beast` number, since 3 + 1 + 6 + 1 + 0 + 643 + 3 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (31610643371) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 592588 + ... + 643724.

It is an arithmetic number, because the mean of its divisors is an integer number (694931328).

Almost surely, 2^31610643372 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 31610643372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50035055616).

31610643372 is an abundant number, since it is smaller than the sum of its proper divisors (68459467860).

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

31610643372 is a wasteful number, since it uses less digits than its factorization.

31610643372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51388 (or 51383 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The spelling of 31610643372 in words is "thirty-one billion, six hundred ten million, six hundred forty-three thousand, three hundred seventy-two".