31378368 has 112 divisors (see below), whose sum is σ = 97601024. Its totient is φ = 8709120.

The previous prime is 31378363. The next prime is 31378387. The reversal of 31378368 is 86387313.

It is a tau number, because it is divible by the number of its divisors (112).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31378363) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49413 + ... + 50043.

Almost surely, 2^31378368 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 31378368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48800512).

31378368 is an abundant number, since it is smaller than the sum of its proper divisors (66222656).

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

31378368 is a wasteful number, since it uses less digits than its factorization.

31378368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 690 (or 680 counting only the distinct ones).

The product of its digits is 72576, while the sum is 39.

The square root of 31378368 is about 5601.6397599274. The cubic root of 31378368 is about 315.4109627251.

The spelling of 31378368 in words is "thirty-one million, three hundred seventy-eight thousand, three hundred sixty-eight".