13438800 has 90 divisors (see below), whose sum is σ = 46648862. Its totient is φ = 3582720.

The previous prime is 13438781. The next prime is 13438811. The reversal of 13438800 is 883431.

It can be written as a sum of positive squares in 3 ways, for example, as 992016 + 12446784 = 996^2 + 3528^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a congruent number.

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 17 ways as a sum of consecutive naturals, for example, 1734 + ... + 5466.

Almost surely, 2^13438800 is an apocalyptic number.

13438800 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 13438800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23324431).

13438800 is an abundant number, since it is smaller than the sum of its proper divisors (33210062).

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

13438800 is a wasteful number, since it uses less digits than its factorization.

13438800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3757 (or 3743 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 13438800 is about 3665.8968888936. The cubic root of 13438800 is about 237.7498018024.

The spelling of 13438800 in words is "thirteen million, four hundred thirty-eight thousand, eight hundred".