3228800 has 48 divisors (see below), whose sum is σ = 7984050. Its totient is φ = 1290240.

The previous prime is 3228781. The next prime is 3228811. The reversal of 3228800 is 88223.

It can be written as a sum of positive squares in 3 ways, for example, as 2096704 + 1132096 = 1448^2 + 1064^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2696 + ... + 3704.

Almost surely, 2^3228800 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 3228800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3992025).

3228800 is an abundant number, since it is smaller than the sum of its proper divisors (4755250).

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

3228800 is a wasteful number, since it uses less digits than its factorization.

3228800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1033 (or 1016 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 3228800 is about 1796.8861956173. The cubic root of 3228800 is about 147.8020240658.

It can be divided in two parts, 32 and 28800, that multiplied together give a square (921600 = 960²).

The spelling of 3228800 in words is "three million, two hundred twenty-eight thousand, eight hundred".