3648800 has 36 divisors (see below), whose sum is σ = 8909586. Its totient is φ = 1459200.

The previous prime is 3648797. The next prime is 3648833. The reversal of 3648800 is 88463.

3648800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 2421136 + 1227664 = 1556^2 + 1108^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1481 + ... + 3080.

Almost surely, 2^3648800 is an apocalyptic number.

It is an amenable number.

3648800 is an abundant number, since it is smaller than the sum of its proper divisors (5260786).

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

3648800 is a wasteful number, since it uses less digits than its factorization.

3648800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4581 (or 4568 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 3648800 is about 1910.1832372838. The cubic root of 3648800 is about 153.9512973559.

The spelling of 3648800 in words is "three million, six hundred forty-eight thousand, eight hundred".