31938144 has 48 divisors (see below), whose sum is σ = 95816448. Its totient is φ = 9124992.

The previous prime is 31938097. The next prime is 31938149. The reversal of 31938144 is 44183913.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31938149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23092 + ... + 24435.

It is an arithmetic number, because the mean of its divisors is an integer number (1996176).

Almost surely, 2^31938144 is an apocalyptic number.

It is an amenable number.

31938144 is an abundant number, since it is smaller than the sum of its proper divisors (63878304).

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

31938144 is a wasteful number, since it uses less digits than its factorization.

31938144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47547 (or 47539 counting only the distinct ones).

The product of its digits is 10368, while the sum is 33.

The square root of 31938144 is about 5651.3842552069. The cubic root of 31938144 is about 317.2755153629.

The spelling of 31938144 in words is "thirty-one million, nine hundred thirty-eight thousand, one hundred forty-four".