13738368 has 128 divisors (see below), whose sum is σ = 44064000. Its totient is φ = 3704832.

The previous prime is 13738367. The next prime is 13738391. The reversal of 13738368 is 86383731.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

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 (13738367) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50938 + ... + 51206.

It is an arithmetic number, because the mean of its divisors is an integer number (344250).

Almost surely, 2^13738368 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 13738368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22032000).

13738368 is an abundant number, since it is smaller than the sum of its proper divisors (30325632).

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

13738368 is a wasteful number, since it uses less digits than its factorization.

13738368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 300 counting only the distinct ones).

The product of its digits is 72576, while the sum is 39.

The square root of 13738368 is about 3706.5304531327. The cubic root of 13738368 is about 239.5034176781.

The spelling of 13738368 in words is "thirteen million, seven hundred thirty-eight thousand, three hundred sixty-eight".