3638800 has 60 divisors (see below), whose sum is σ = 9548496. Its totient is φ = 1321600.

The previous prime is 3638777. The next prime is 3638809. The reversal of 3638800 is 88363.

It is not an unprimeable number, because it can be changed into a prime (3638809) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3987 + ... + 4813.

Almost surely, 2^3638800 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 3638800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4774248).

3638800 is an abundant number, since it is smaller than the sum of its proper divisors (5909696).

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

3638800 is a wasteful number, since it uses less digits than its factorization.

3638800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 856 (or 845 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 3638800 is about 1907.5638914595. The cubic root of 3638800 is about 153.8105276481.

The spelling of 3638800 in words is "three million, six hundred thirty-eight thousand, eight hundred".