3072800 has 72 divisors (see below), whose sum is σ = 7874496. Its totient is φ = 1168640.

The previous prime is 3072791. The next prime is 3072829. The reversal of 3072800 is 82703.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 18317 + ... + 18483.

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

Almost surely, 2^3072800 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 3072800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3937248).

3072800 is an abundant number, since it is smaller than the sum of its proper divisors (4801696).

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

3072800 is a wasteful number, since it uses less digits than its factorization.

3072800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 3072800 is about 1752.9403868928. The cubic root of 3072800 is about 145.3822652243.

The spelling of 3072800 in words is "three million, seventy-two thousand, eight hundred".