11638400 has 48 divisors (see below), whose sum is σ = 28758390. Its totient is φ = 4654080.

The previous prime is 11638349. The next prime is 11638409. The reversal of 11638400 is 483611.

It can be written as a sum of positive squares in 3 ways, for example, as 5125696 + 6512704 = 2264^2 + 2552^2 .

It is a super-3 number, since 3×11638400³ (a number of 22 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (11638409) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1382 + ... + 5018.

Almost surely, 2^11638400 is an apocalyptic number.

11638400 is a gapful number since it is divisible by the number (10) 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 11638400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14379195).

11638400 is an abundant number, since it is smaller than the sum of its proper divisors (17119990).

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

11638400 is an equidigital number, since it uses as much as digits as its factorization.

11638400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3661 (or 3644 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 11638400 is about 3411.5099296353. The cubic root of 11638400 is about 226.6197519205.

The spelling of 11638400 in words is "eleven million, six hundred thirty-eight thousand, four hundred".