31382880 has 48 divisors (see below), whose sum is σ = 98857584. Its totient is φ = 8368640.

The previous prime is 31382863. The next prime is 31382891. The reversal of 31382880 is 8828313.

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32211 + ... + 33170.

It is an arithmetic number, because the mean of its divisors is an integer number (2059533).

Almost surely, 2^31382880 is an apocalyptic number.

31382880 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31382880 is an abundant number, since it is smaller than the sum of its proper divisors (67474704).

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

31382880 is a wasteful number, since it uses less digits than its factorization.

31382880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65399 (or 65391 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 31382880 is about 5602.0424846657. The cubic root of 31382880 is about 315.4260799980.

It can be divided in two parts, 3 and 1382880, that multiplied together give a triangular number (4148640 = T₂₈₈₀).

The spelling of 31382880 in words is "thirty-one million, three hundred eighty-two thousand, eight hundred eighty".