13838508 has 18 divisors (see below), whose sum is σ = 34980764. Its totient is φ = 4612824.

The previous prime is 13838501. The next prime is 13838519. The reversal of 13838508 is 80583831.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 384403 = 13838508 / (1 + 3 + 8 + 3 + 8 + 5 + 0 + 8).

It is not an unprimeable number, because it can be changed into a prime (13838501) 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 5 ways as a sum of consecutive naturals, for example, 192166 + ... + 192237.

Almost surely, 2^13838508 is an apocalyptic number.

13838508 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13838508 is an abundant number, since it is smaller than the sum of its proper divisors (21142256).

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

13838508 is a wasteful number, since it uses less digits than its factorization.

13838508 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384413 (or 384408 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 13838508 is about 3720.0145161007. The cubic root of 13838508 is about 240.0839289796.

The spelling of 13838508 in words is "thirteen million, eight hundred thirty-eight thousand, five hundred eight".