31997808000 has 512 divisors, whose sum is σ = 124820092800. Its totient is φ = 8028979200.

The previous prime is 31997807999. The next prime is 31997808013. The reversal of 31997808000 is 80879913.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 63 ways as a sum of consecutive naturals, for example, 7341822 + ... + 7346178.

Almost surely, 2^31997808000 is an apocalyptic number.

31997808000 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 31997808000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62410046400).

31997808000 is an abundant number, since it is smaller than the sum of its proper divisors (92822284800).

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

31997808000 is a wasteful number, since it uses less digits than its factorization.

31997808000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4412 (or 4384 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The spelling of 31997808000 in words is "thirty-one billion, nine hundred ninety-seven million, eight hundred eight thousand".