31860786672 has 640 divisors, whose sum is σ = 112632791040. Its totient is φ = 8491392000.

The previous prime is 31860786653. The next prime is 31860786697. The reversal of 31860786672 is 27668706813.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 243212047 + ... + 243212177.

It is an arithmetic number, because the mean of its divisors is an integer number (175988736).

Almost surely, 2^31860786672 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 31860786672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56316395520).

31860786672 is an abundant number, since it is smaller than the sum of its proper divisors (80772004368).

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

31860786672 is a wasteful number, since it uses less digits than its factorization.

31860786672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 31860786672 in words is "thirty-one billion, eight hundred sixty million, seven hundred eighty-six thousand, six hundred seventy-two".