3056400 has 120 divisors (see below), whose sum is σ = 10916960. Its totient is φ = 812160.

The previous prime is 3056399. The next prime is 3056407. The reversal of 3056400 is 46503.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (3056407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10659 + ... + 10941.

Almost surely, 2^3056400 is an apocalyptic number.

3056400 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 3056400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5458480).

3056400 is an abundant number, since it is smaller than the sum of its proper divisors (7860560).

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

3056400 is a wasteful number, since it uses less digits than its factorization.

3056400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 3056400 is about 1748.2562741200. The cubic root of 3056400 is about 145.1231613118.

The spelling of 3056400 in words is "three million, fifty-six thousand, four hundred".