3652800 has 84 divisors (see below), whose sum is σ = 11999976. Its totient is φ = 972800.

The previous prime is 3652783. The next prime is 3652819. The reversal of 3652800 is 82563.

3652800 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 4420 + ... + 5180.

Almost surely, 2^3652800 is an apocalyptic number.

3652800 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 3652800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5999988).

3652800 is an abundant number, since it is smaller than the sum of its proper divisors (8347176).

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

3652800 is a wasteful number, since it uses less digits than its factorization.

3652800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 786 (or 771 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 3652800 is about 1911.2299704640. The cubic root of 3652800 is about 154.0075332234.

The spelling of 3652800 in words is "three million, six hundred fifty-two thousand, eight hundred".