13838904 has 64 divisors (see below), whose sum is σ = 38976000. Its totient is φ = 4548960.

The previous prime is 13838879. The next prime is 13838921. The reversal of 13838904 is 40983831.

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

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 16659 + ... + 17469.

It is an arithmetic number, because the mean of its divisors is an integer number (609000).

Almost surely, 2^13838904 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 13838904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19488000).

13838904 is an abundant number, since it is smaller than the sum of its proper divisors (25137096).

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

13838904 is a wasteful number, since it uses less digits than its factorization.

13838904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 905 (or 895 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 13838904 is about 3720.0677413187. The cubic root of 13838904 is about 240.0862190225.

The spelling of 13838904 in words is "thirteen million, eight hundred thirty-eight thousand, nine hundred four".