31359680352 has 1152 divisors, whose sum is σ = 128918200320. Its totient is φ = 7025356800.

The previous prime is 31359680311. The next prime is 31359680353. The reversal of 31359680352 is 25308695313.

It is a happy number.

31359680352 is a `hidden beast` number, since 3 + 1 + 3 + 596 + 8 + 0 + 3 + 52 = 666.

It is a super-2 number, since 2×31359680352² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 31359680298 and 31359680307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31359680353) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1011602577 + ... + 1011602607.

It is an arithmetic number, because the mean of its divisors is an integer number (111908160).

Almost surely, 2^31359680352 is an apocalyptic number.

31359680352 is a gapful number since it is divisible by the number (32) 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 31359680352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64459100160).

31359680352 is an abundant number, since it is smaller than the sum of its proper divisors (97558519968).

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

31359680352 is a wasteful number, since it uses less digits than its factorization.

31359680352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The spelling of 31359680352 in words is "thirty-one billion, three hundred fifty-nine million, six hundred eighty thousand, three hundred fifty-two".