13638366 has 72 divisors (see below), whose sum is σ = 35209200. Its totient is φ = 3813768.

The previous prime is 13638347. The next prime is 13638367. The reversal of 13638366 is 66383631.

13638366 is a `hidden beast` number, since 13 + 638 + 3 + 6 + 6 = 666.

13638366 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×13638366³ (a number of 22 digits) contains 333 as substring.

It is a zygodrome in base 3.

It is a self number, because there is not a number n which added to its sum of digits gives 13638366.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13638367) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 290155 + ... + 290201.

Almost surely, 2^13638366 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13638366, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17604600).

13638366 is an abundant number, since it is smaller than the sum of its proper divisors (21570834).

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

13638366 is an equidigital number, since it uses as much as digits as its factorization.

13638366 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 59 counting only the distinct ones).

The product of its digits is 46656, while the sum is 36.

The square root of 13638366 is about 3693.0158407459. The cubic root of 13638366 is about 238.9208843951.

The spelling of 13638366 in words is "thirteen million, six hundred thirty-eight thousand, three hundred sixty-six".