31884800112 has 120 divisors (see below), whose sum is σ = 97510144368. Its totient is φ = 9645696000.

The previous prime is 31884800081. The next prime is 31884800131. The reversal of 31884800112 is 21100848813.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 935238 + ... + 968730.

Almost surely, 2^31884800112 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 31884800112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48755072184).

31884800112 is an abundant number, since it is smaller than the sum of its proper divisors (65625344256).

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

31884800112 is a wasteful number, since it uses less digits than its factorization.

31884800112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34119 (or 34110 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The spelling of 31884800112 in words is "thirty-one billion, eight hundred eighty-four million, eight hundred thousand, one hundred twelve".