3131408 has 40 divisors (see below), whose sum is σ = 7047168. Its totient is φ = 1320192.

The previous prime is 3131377. The next prime is 3131419. The reversal of 3131408 is 8041313.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 3131408.

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, 7985 + ... + 8367.

Almost surely, 2^3131408 is an apocalyptic number.

3131408 is the 1022-nd octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3131408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3523584).

3131408 is an abundant number, since it is smaller than the sum of its proper divisors (3915760).

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

3131408 is a wasteful number, since it uses less digits than its factorization.

3131408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 3131408 is about 1769.5784808818. The cubic root of 3131408 is about 146.3007499136.

The spelling of 3131408 in words is "three million, one hundred thirty-one thousand, four hundred eight".