31387392000 has 768 divisors, whose sum is σ = 122653440000. Its totient is φ = 7896268800.

The previous prime is 31387391999. The next prime is 31387392053. The reversal of 31387392000 is 29378313.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 131327881 + ... + 131328119.

It is an arithmetic number, because the mean of its divisors is an integer number (159705000).

Almost surely, 2^31387392000 is an apocalyptic number.

31387392000 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 31387392000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61326720000).

31387392000 is an abundant number, since it is smaller than the sum of its proper divisors (91266048000).

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

31387392000 is a wasteful number, since it uses less digits than its factorization.

31387392000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The spelling of 31387392000 in words is "thirty-one billion, three hundred eighty-seven million, three hundred ninety-two thousand".