13838200 has 24 divisors (see below), whose sum is σ = 32174280. Its totient is φ = 5535200.

The previous prime is 13838189. The next prime is 13838207. The reversal of 13838200 is 283831.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13838207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 34396 + ... + 34795.

It is an arithmetic number, because the mean of its divisors is an integer number (1340595).

Almost surely, 2^13838200 is an apocalyptic number.

13838200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13838200 is an abundant number, since it is smaller than the sum of its proper divisors (18336080).

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

13838200 is a wasteful number, since it uses less digits than its factorization.

13838200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69207 (or 69198 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 13838200 is about 3719.9731181824. The cubic root of 13838200 is about 240.0821478050.

The spelling of 13838200 in words is "thirteen million, eight hundred thirty-eight thousand, two hundred".