31373916336 has 480 divisors, whose sum is σ = 107178140160. Its totient is φ = 8379334656.

The previous prime is 31373916331. The next prime is 31373916349. The reversal of 31373916336 is 63361937313.

31373916336 is a `hidden beast` number, since 3 + 1 + 3 + 7 + 3 + 9 + 1 + 633 + 6 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 31373916291 and 31373916300.

It is not an unprimeable number, because it can be changed into a prime (31373916331) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 162559056 + ... + 162559248.

It is an arithmetic number, because the mean of its divisors is an integer number (223287792).

Almost surely, 2^31373916336 is an apocalyptic number.

31373916336 is a gapful number since it is divisible by the number (36) 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 31373916336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53589070080).

31373916336 is an abundant number, since it is smaller than the sum of its proper divisors (75804223824).

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

31373916336 is a wasteful number, since it uses less digits than its factorization.

31373916336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393 (or 384 counting only the distinct ones).

The product of its digits is 551124, while the sum is 45.

The spelling of 31373916336 in words is "thirty-one billion, three hundred seventy-three million, nine hundred sixteen thousand, three hundred thirty-six".