31999946832 has 360 divisors, whose sum is σ = 112054453056. Its totient is φ = 8658980352.

The previous prime is 31999946807. The next prime is 31999946837. The reversal of 31999946832 is 23864999913.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 31999946832.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31999946837) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9823348 + ... + 9826604.

Almost surely, 2^31999946832 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 31999946832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56027226528).

31999946832 is an abundant number, since it is smaller than the sum of its proper divisors (80054506224).

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

31999946832 is a wasteful number, since it uses less digits than its factorization.

31999946832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3325 (or 3288 counting only the distinct ones).

The product of its digits is 22674816, while the sum is 63.

The spelling of 31999946832 in words is "thirty-one billion, nine hundred ninety-nine million, nine hundred forty-six thousand, eight hundred thirty-two".