13844736 has 72 divisors (see below), whose sum is σ = 40961760. Its totient is φ = 4612608.

The previous prime is 13844729. The next prime is 13844741. The reversal of 13844736 is 63744831.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 13844736.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5911 + ... + 7913.

Almost surely, 2^13844736 is an apocalyptic number.

13844736 is a gapful number since it is divisible by the number (16) 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 13844736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20480880).

13844736 is an abundant number, since it is smaller than the sum of its proper divisors (27117024).

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

13844736 is an equidigital number, since it uses as much as digits as its factorization.

13844736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2028 (or 2008 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 13844736 is about 3720.8515154464. The cubic root of 13844736 is about 240.1199400500.

The spelling of 13844736 in words is "thirteen million, eight hundred forty-four thousand, seven hundred thirty-six".