31029436368 has 160 divisors (see below), whose sum is σ = 102214449920. Its totient is φ = 8828559360.

The previous prime is 31029436343. The next prime is 31029436379. The reversal of 31029436368 is 86363492013.

31029436368 is a `hidden beast` number, since 3 + 1 + 0 + 2 + 9 + 4 + 3 + 636 + 8 = 666.

It is a super-2 number, since 2×31029436368² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 707496 + ... + 750072.

It is an arithmetic number, because the mean of its divisors is an integer number (638840312).

Almost surely, 2^31029436368 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 31029436368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51107224960).

31029436368 is an abundant number, since it is smaller than the sum of its proper divisors (71185013552).

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

31029436368 is a wasteful number, since it uses less digits than its factorization.

31029436368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42842 (or 42830 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 31029436368 in words is "thirty-one billion, twenty-nine million, four hundred thirty-six thousand, three hundred sixty-eight".