13838600 has 24 divisors (see below), whose sum is σ = 32175210. Its totient is φ = 5535360.

The previous prime is 13838599. The next prime is 13838603. The reversal of 13838600 is 683831.

It can be written as a sum of positive squares in 3 ways, for example, as 11546404 + 2292196 = 3398^2 + 1514^2 .

It is not an unprimeable number, because it can be changed into a prime (13838603) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 34397 + ... + 34796.

Almost surely, 2^13838600 is an apocalyptic number.

13838600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13838600 is an abundant number, since it is smaller than the sum of its proper divisors (18336610).

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

13838600 is a wasteful number, since it uses less digits than its factorization.

13838600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69209 (or 69200 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 13838600 is about 3720.0268816233. The cubic root of 13838600 is about 240.0844610137.

The spelling of 13838600 in words is "thirteen million, eight hundred thirty-eight thousand, six hundred".