31320274988304 has 405 divisors, whose sum is σ = 95276238642039. Its totient is φ = 9972877464000.

The previous prime is 31320274988291. The next prime is 31320274988329. The reversal of 31320274988304 is 40388947202313.

It is a happy number.

The square root of 31320274988304 is 5596452.

It is a perfect power (a square), and thus also a powerful number.

31320274988304 is a `hidden beast` number, since 3 + 1 + 320 + 2 + 7 + 4 + 9 + 8 + 8 + 304 = 666.

It is a super-2 number, since 2×31320274988304² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 41704759929 + ... + 41704760679.

Almost surely, 2^{31320274988304} is an apocalyptic number.

31320274988304 is the 5596452-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31320274988304

31320274988304 is an abundant number, since it is smaller than the sum of its proper divisors (63955963653735).

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

31320274988304 is an frugal number, since it uses more digits than its factorization.

31320274988304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1580 (or 779 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 31320274988304 in words is "thirty-one trillion, three hundred twenty billion, two hundred seventy-four million, nine hundred eighty-eight thousand, three hundred four".