31138368 has 56 divisors (see below), whose sum is σ = 83100672. Its totient is φ = 10289664.

The previous prime is 31138313. The next prime is 31138381. The reversal of 31138368 is 86383113.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

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, 23746 + ... + 25022.

Almost surely, 2^31138368 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 31138368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41550336).

31138368 is an abundant number, since it is smaller than the sum of its proper divisors (51962304).

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

31138368 is a wasteful number, since it uses less digits than its factorization.

31138368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1419 (or 1409 counting only the distinct ones).

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

The square root of 31138368 is about 5580.1763412996. The cubic root of 31138368 is about 314.6047549681.

It can be divided in two parts, 3 and 1138368, that multiplied together give a square (3415104 = 1848²).

The spelling of 31138368 in words is "thirty-one million, one hundred thirty-eight thousand, three hundred sixty-eight".