31673992000 has 560 divisors, whose sum is σ = 97890378768. Its totient is φ = 10115481600.

The previous prime is 31673991997. The next prime is 31673992027. The reversal of 31673992000 is 29937613.

It can be written as a sum of positive squares in 8 ways, for example, as 6841274944 + 24832717056 = 82712^2 + 157584^2 .

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 326535952 + ... + 326536048.

Almost surely, 2^31673992000 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 31673992000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48945189384).

31673992000 is an abundant number, since it is smaller than the sum of its proper divisors (66216386768).

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

31673992000 is an frugal number, since it uses more digits than its factorization.

31673992000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 61236, while the sum is 40.

The spelling of 31673992000 in words is "thirty-one billion, six hundred seventy-three million, nine hundred ninety-two thousand".