13638384 has 60 divisors (see below), whose sum is σ = 38910456. Its totient is φ = 4457856.

The previous prime is 13638377. The next prime is 13638397. The reversal of 13638384 is 48383631.

It is a happy number.

13638384 is a `hidden beast` number, since 13 + 638 + 3 + 8 + 4 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6739 + ... + 8525.

Almost surely, 2^13638384 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 13638384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19455228).

13638384 is an abundant number, since it is smaller than the sum of its proper divisors (25272072).

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

13638384 is a wasteful number, since it uses less digits than its factorization.

13638384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1854 (or 1845 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 13638384 is about 3693.0182777777. The cubic root of 13638384 is about 238.9209895048.

The spelling of 13638384 in words is "thirteen million, six hundred thirty-eight thousand, three hundred eighty-four".