13738800 has 90 divisors (see below), whose sum is σ = 44425108. Its totient is φ = 3629440.

The previous prime is 13738717. The next prime is 13738849. The reversal of 13738800 is 883731.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 128347 + ... + 128453.

Almost surely, 2^13738800 is an apocalyptic number.

13738800 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 13738800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22212554).

13738800 is an abundant number, since it is smaller than the sum of its proper divisors (30686308).

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

13738800 is a wasteful number, since it uses less digits than its factorization.

13738800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 13738800 is about 3706.5887281974. The cubic root of 13738800 is about 239.5059280294.

The spelling of 13738800 in words is "thirteen million, seven hundred thirty-eight thousand, eight hundred".