31722428160 has 432 divisors, whose sum is σ = 114905831040. Its totient is φ = 8071741440.

The previous prime is 31722428131. The next prime is 31722428167. The reversal of 31722428160 is 6182422713.

It is a happy number.

31722428160 is a `hidden beast` number, since 3 + 1 + 72 + 2 + 428 + 160 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31722428167) 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 47 ways as a sum of consecutive naturals, for example, 22198326 + ... + 22199754.

It is an arithmetic number, because the mean of its divisors is an integer number (265985720).

Almost surely, 2^31722428160 is an apocalyptic number.

31722428160 is a gapful number since it is divisible by the number (30) 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 31722428160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57452915520).

31722428160 is an abundant number, since it is smaller than the sum of its proper divisors (83183402880).

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

31722428160 is a wasteful number, since it uses less digits than its factorization.

31722428160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1544 (or 1527 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 31722428160 in words is "thirty-one billion, seven hundred twenty-two million, four hundred twenty-eight thousand, one hundred sixty".