31797384960 has 288 divisors, whose sum is σ = 111423836160. Its totient is φ = 7664025600.

The previous prime is 31797384959. The next prime is 31797384961. The reversal of 31797384960 is 6948379713.

It is an interprime number because it is at equal distance from previous prime (31797384959) and next prime (31797384961).

It is a super-2 number, since 2×31797384960² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 31797384960.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31797384961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7643361 + ... + 7647519.

It is an arithmetic number, because the mean of its divisors is an integer number (386888320).

Almost surely, 2^31797384960 is an apocalyptic number.

31797384960 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 31797384960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55711918080).

31797384960 is an abundant number, since it is smaller than the sum of its proper divisors (79626451200).

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

31797384960 is a wasteful number, since it uses less digits than its factorization.

31797384960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4375 (or 4361 counting only the distinct ones).

The product of its (nonzero) digits is 6858432, while the sum is 57.

The spelling of 31797384960 in words is "thirty-one billion, seven hundred ninety-seven million, three hundred eighty-four thousand, nine hundred sixty".