31938048 has 120 divisors (see below), whose sum is σ = 95752800. Its totient is φ = 10235904.

The previous prime is 31938047. The next prime is 31938059. The reversal of 31938048 is 84083913.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31938047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 133513 + ... + 133751.

It is an arithmetic number, because the mean of its divisors is an integer number (797940).

Almost surely, 2^31938048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31938048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47876400).

31938048 is an abundant number, since it is smaller than the sum of its proper divisors (63814752).

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

31938048 is a wasteful number, since it uses less digits than its factorization.

31938048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 31938048 is about 5651.3757617062. The cubic root of 31938048 is about 317.2751974726.

The spelling of 31938048 in words is "thirty-one million, nine hundred thirty-eight thousand, forty-eight".