13386384 has 120 divisors (see below), whose sum is σ = 42518112. Its totient is φ = 4043520.

The previous prime is 13386383. The next prime is 13386397. The reversal of 13386384 is 48368331.

It is a happy number.

13386384 is a `hidden beast` number, since 13 + 3 + 8 + 638 + 4 = 666.

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 not an unprimeable number, because it can be changed into a prime (13386383) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42612 + ... + 42924.

Almost surely, 2^13386384 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 13386384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21259056).

13386384 is an abundant number, since it is smaller than the sum of its proper divisors (29131728).

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

13386384 is a wasteful number, since it uses less digits than its factorization.

13386384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347 (or 329 counting only the distinct ones).

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

The square root of 13386384 is about 3658.7407669853. The cubic root of 13386384 is about 237.4402967196.

The spelling of 13386384 in words is "thirteen million, three hundred eighty-six thousand, three hundred eighty-four".