13838724 has 36 divisors (see below), whose sum is σ = 35646156. Its totient is φ = 4525248.

The previous prime is 13838723. The next prime is 13838743. The reversal of 13838724 is 42783831.

It can be written as a sum of positive squares in 2 ways, for example, as 10036224 + 3802500 = 3168^2 + 1950^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a plaindrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (13838723) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1719 + ... + 5534.

It is an arithmetic number, because the mean of its divisors is an integer number (990171).

Almost surely, 2^13838724 is an apocalyptic number.

It is an amenable number.

13838724 is an abundant number, since it is smaller than the sum of its proper divisors (21807432).

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

13838724 is a wasteful number, since it uses less digits than its factorization.

13838724 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7316 (or 7311 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 13838724 is about 3720.0435481322. The cubic root of 13838724 is about 240.0851780993.

The spelling of 13838724 in words is "thirteen million, eight hundred thirty-eight thousand, seven hundred twenty-four".