13838000 has 160 divisors (see below), whose sum is σ = 39693888. Its totient is φ = 4608000.

The previous prime is 13837981. The next prime is 13838021. The reversal of 13838000 is 83831.

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 31 ways as a sum of consecutive naturals, for example, 373982 + ... + 374018.

Almost surely, 2^13838000 is an apocalyptic number.

13838000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13838000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19846944).

13838000 is an abundant number, since it is smaller than the sum of its proper divisors (25855888).

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

13838000 is a wasteful number, since it uses less digits than its factorization.

13838000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 13838000 is about 3719.9462361706. The cubic root of 13838000 is about 240.0809911839.

The spelling of 13838000 in words is "thirteen million, eight hundred thirty-eight thousand".