31972462368 has 384 divisors, whose sum is σ = 107935027200. Its totient is φ = 8214312960.

The previous prime is 31972462351. The next prime is 31972462369. The reversal of 31972462368 is 86326427913.

It is a self number, because there is not a number n which added to its sum of digits gives 31972462368.

It is not an unprimeable number, because it can be changed into a prime (31972462369) 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 63 ways as a sum of consecutive naturals, for example, 37306996 + ... + 37307852.

It is an arithmetic number, because the mean of its divisors is an integer number (281080800).

Almost surely, 2^31972462368 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 31972462368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53967513600).

31972462368 is an abundant number, since it is smaller than the sum of its proper divisors (75962564832).

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

31972462368 is a wasteful number, since it uses less digits than its factorization.

31972462368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1005 (or 983 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 51.

The spelling of 31972462368 in words is "thirty-one billion, nine hundred seventy-two million, four hundred sixty-two thousand, three hundred sixty-eight".