31800345984 has 320 divisors, whose sum is σ = 105208638480. Its totient is φ = 9452851200.

The previous prime is 31800345953. The next prime is 31800345991. The reversal of 31800345984 is 48954300813.

It is a super-2 number, since 2×31800345984² (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 (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6041914 + ... + 6047174.

Almost surely, 2^31800345984 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 31800345984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52604319240).

31800345984 is an abundant number, since it is smaller than the sum of its proper divisors (73408292496).

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

31800345984 is a wasteful number, since it uses less digits than its factorization.

31800345984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5351 (or 5330 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 31800345984 in words is "thirty-one billion, eight hundred million, three hundred forty-five thousand, nine hundred eighty-four".