3116800 has 54 divisors (see below), whose sum is σ = 7730408. Its totient is φ = 1244160.

The previous prime is 3116783. The next prime is 3116807. The reversal of 3116800 is 86113.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3116807) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6157 + ... + 6643.

Almost surely, 2^3116800 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 3116800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3865204).

3116800 is an abundant number, since it is smaller than the sum of its proper divisors (4613608).

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

3116800 is an equidigital number, since it uses as much as digits as its factorization.

3116800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 513 (or 494 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 3116800 is about 1765.4461192571. The cubic root of 3116800 is about 146.0728978551.

It can be divided in two parts, 3116 and 800, that added together give a triangular number (3916 = T₈₈).

The spelling of 3116800 in words is "three million, one hundred sixteen thousand, eight hundred".