31633632342 has 96 divisors (see below), whose sum is σ = 77771366400. Its totient is φ = 9212273856.

The previous prime is 31633632341. The next prime is 31633632353. The reversal of 31633632342 is 24323633613.

31633632342 is a `hidden beast` number, since 3 + 1 + 63 + 363 + 234 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 31633632297 and 31633632306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31633632341) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 5683653 + ... + 5689215.

It is an arithmetic number, because the mean of its divisors is an integer number (810118400).

Almost surely, 2^31633632342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31633632342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38885683200).

31633632342 is an abundant number, since it is smaller than the sum of its proper divisors (46137734058).

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

31633632342 is a wasteful number, since it uses less digits than its factorization.

31633632342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6882 (or 6879 counting only the distinct ones).

The product of its digits is 139968, while the sum is 36.

The spelling of 31633632342 in words is "thirty-one billion, six hundred thirty-three million, six hundred thirty-two thousand, three hundred forty-two".