13744384 has 36 divisors (see below), whose sum is σ = 27980316. Its totient is φ = 6735872.

The previous prime is 13744369. The next prime is 13744399. The reversal of 13744384 is 48344731.

It is an interprime number because it is at equal distance from previous prime (13744369) and next prime (13744399).

It can be written as a sum of positive squares in 2 ways, for example, as 3504384 + 10240000 = 1872^2 + 3200^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13062 + ... + 14074.

It is an arithmetic number, because the mean of its divisors is an integer number (777231).

Almost surely, 2^13744384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13744384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13990158).

13744384 is an abundant number, since it is smaller than the sum of its proper divisors (14235932).

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

13744384 is an equidigital number, since it uses as much as digits as its factorization.

13744384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1082 (or 1068 counting only the distinct ones).

The product of its digits is 32256, while the sum is 34.

The square root of 13744384 is about 3707.3419049233. The cubic root of 13744384 is about 239.5383719098.

It can be divided in two parts, 137 and 44384, that added together give a square (44521 = 211²).

The spelling of 13744384 in words is "thirteen million, seven hundred forty-four thousand, three hundred eighty-four".