31312783872 has 320 divisors, whose sum is σ = 98522265600. Its totient is φ = 9800663040.

The previous prime is 31312783829. The next prime is 31312783889. The reversal of 31312783872 is 27838721313.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14832097 + ... + 14834207.

It is an arithmetic number, because the mean of its divisors is an integer number (307882080).

Almost surely, 2^31312783872 is an apocalyptic number.

31312783872 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 31312783872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49261132800).

31312783872 is an abundant number, since it is smaller than the sum of its proper divisors (67209481728).

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

31312783872 is a wasteful number, since it uses less digits than its factorization.

31312783872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2204 (or 2182 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The spelling of 31312783872 in words is "thirty-one billion, three hundred twelve million, seven hundred eighty-three thousand, eight hundred seventy-two".