31375116344 has 96 divisors (see below), whose sum is σ = 69604064640. Its totient is φ = 13143312000.

The previous prime is 31375116323. The next prime is 31375116359. The reversal of 31375116344 is 44361157313.

It is a super-3 number, since 3×31375116344³ (a number of 32 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 31375116298 and 31375116307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12297869 + ... + 12300419.

It is an arithmetic number, because the mean of its divisors is an integer number (725042340).

Almost surely, 2^31375116344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31375116344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34802032320).

31375116344 is an abundant number, since it is smaller than the sum of its proper divisors (38228948296).

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

31375116344 is a wasteful number, since it uses less digits than its factorization.

31375116344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3421 (or 3404 counting only the distinct ones).

The product of its digits is 90720, while the sum is 38.

The spelling of 31375116344 in words is "thirty-one billion, three hundred seventy-five million, one hundred sixteen thousand, three hundred forty-four".