3638400 has 96 divisors (see below), whose sum is σ = 12015600. Its totient is φ = 967680.

The previous prime is 3638351. The next prime is 3638407. The reversal of 3638400 is 48363.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (3638407) 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, 9411 + ... + 9789.

Almost surely, 2^3638400 is an apocalyptic number.

3638400 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 3638400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6007800).

3638400 is an abundant number, since it is smaller than the sum of its proper divisors (8377200).

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

3638400 is a wasteful number, since it uses less digits than its factorization.

3638400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 3638400 is about 1907.4590428106. The cubic root of 3638400 is about 153.8048914983.

The spelling of 3638400 in words is "three million, six hundred thirty-eight thousand, four hundred".