13938368 has 56 divisors (see below), whose sum is σ = 30614112. Its totient is φ = 6262784.

The previous prime is 13938361. The next prime is 13938371. The reversal of 13938368 is 86383931.

It is a super-3 number, since 3×13938368³ (a number of 22 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (13938361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24746 + ... + 25302.

Almost surely, 2^13938368 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 13938368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15307056).

13938368 is an abundant number, since it is smaller than the sum of its proper divisors (16675744).

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

13938368 is a wasteful number, since it uses less digits than its factorization.

13938368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 609 (or 599 counting only the distinct ones).

The product of its digits is 93312, while the sum is 41.

The square root of 13938368 is about 3733.4123801155. The cubic root of 13938368 is about 240.6600349954.

The spelling of 13938368 in words is "thirteen million, nine hundred thirty-eight thousand, three hundred sixty-eight".