31322712960 has 1920 divisors, whose sum is σ = 151954704000. Its totient is φ = 6061547520.

The previous prime is 31322712937. The next prime is 31322712961. The reversal of 31322712960 is 6921722313.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×31322712960² (a number of 22 digits) contains 22 as substring.

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 (31322712961) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 530893411 + ... + 530893469.

It is an arithmetic number, because the mean of its divisors is an integer number (79143075).

Almost surely, 2^31322712960 is an apocalyptic number.

31322712960 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 31322712960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75977352000).

31322712960 is an abundant number, since it is smaller than the sum of its proper divisors (120631991040).

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

31322712960 is a wasteful number, since it uses less digits than its factorization.

31322712960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The spelling of 31322712960 in words is "thirty-one billion, three hundred twenty-two million, seven hundred twelve thousand, nine hundred sixty".