31334667540 has 192 divisors, whose sum is σ = 97555691520. Its totient is φ = 7450652160.

The previous prime is 31334667493. The next prime is 31334667577. The reversal of 31334667540 is 4576643313.

It is a super-2 number, since 2×31334667540² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 31334667492 and 31334667501.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29477049 + ... + 29478111.

It is an arithmetic number, because the mean of its divisors is an integer number (508102560).

Almost surely, 2^31334667540 is an apocalyptic number.

31334667540 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 31334667540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48777845760).

31334667540 is an abundant number, since it is smaller than the sum of its proper divisors (66221023980).

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

31334667540 is a wasteful number, since it uses less digits than its factorization.

31334667540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1902 (or 1900 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 42.

The spelling of 31334667540 in words is "thirty-one billion, three hundred thirty-four million, six hundred sixty-seven thousand, five hundred forty".