3120800 has 72 divisors (see below), whose sum is σ = 7874496. Its totient is φ = 1207040.

The previous prime is 3120791. The next prime is 3120827. The reversal of 3120800 is 80213.

3120800 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37559 + ... + 37641.

It is an arithmetic number, because the mean of its divisors is an integer number (109368).

Almost surely, 2^3120800 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 3120800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3937248).

3120800 is an abundant number, since it is smaller than the sum of its proper divisors (4753696).

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

3120800 is a wasteful number, since it uses less digits than its factorization.

3120800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 3120800 is about 1766.5786141579. The cubic root of 3120800 is about 146.1353595483.

The spelling of 3120800 in words is "three million, one hundred twenty thousand, eight hundred".