3116400 has 180 divisors, whose sum is σ = 11831832. Its totient is φ = 698880.

The previous prime is 3116381. The next prime is 3116417. The reversal of 3116400 is 46113.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 3116400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 58774 + ... + 58826.

Almost surely, 2^3116400 is an apocalyptic number.

3116400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3116400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5915916).

3116400 is an abundant number, since it is smaller than the sum of its proper divisors (8715432).

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

3116400 is a wasteful number, since it uses less digits than its factorization.

3116400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 3116400 is about 1765.3328298086. The cubic root of 3116400 is about 146.0666487472.

It can be divided in two parts, 3 and 116400, that added together give a triangular number (116403 = T₄₈₂).

The spelling of 3116400 in words is "three million, one hundred sixteen thousand, four hundred".