31377870720 has 1536 divisors, whose sum is σ = 142215091200. Its totient is φ = 6449725440.

The previous prime is 31377870707. The next prime is 31377870721. The reversal of 31377870720 is 2707877313.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31377870721) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 765313900 + ... + 765313940.

It is an arithmetic number, because the mean of its divisors is an integer number (92587950).

Almost surely, 2^31377870720 is an apocalyptic number.

31377870720 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 31377870720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71107545600).

31377870720 is an abundant number, since it is smaller than the sum of its proper divisors (110837220480).

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

31377870720 is a wasteful number, since it uses less digits than its factorization.

31377870720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 345744, while the sum is 45.

The spelling of 31377870720 in words is "thirty-one billion, three hundred seventy-seven million, eight hundred seventy thousand, seven hundred twenty".