13638352 has 160 divisors (see below), whose sum is σ = 37497600. Its totient is φ = 4644864.

The previous prime is 13638347. The next prime is 13638367. The reversal of 13638352 is 25383631.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 470274 + ... + 470302.

It is an arithmetic number, because the mean of its divisors is an integer number (234360).

Almost surely, 2^13638352 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 13638352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18748800).

13638352 is an abundant number, since it is smaller than the sum of its proper divisors (23859248).

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

13638352 is a wasteful number, since it uses less digits than its factorization.

13638352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 87 counting only the distinct ones).

The product of its digits is 12960, while the sum is 31.

The square root of 13638352 is about 3693.0139452756. The cubic root of 13638352 is about 238.9208026430.

The spelling of 13638352 in words is "thirteen million, six hundred thirty-eight thousand, three hundred fifty-two".