13821344 has 48 divisors (see below), whose sum is σ = 28848960. Its totient is φ = 6504960.

The previous prime is 13821343. The next prime is 13821373. The reversal of 13821344 is 44312831.

It is not an unprimeable number, because it can be changed into a prime (13821343) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 65399 + ... + 65609.

It is an arithmetic number, because the mean of its divisors is an integer number (601020).

Almost surely, 2^13821344 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 13821344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14424480).

13821344 is an abundant number, since it is smaller than the sum of its proper divisors (15027616).

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

13821344 is a wasteful number, since it uses less digits than its factorization.

13821344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 325 counting only the distinct ones).

The product of its digits is 2304, while the sum is 26.

The square root of 13821344 is about 3717.7068200707. The cubic root of 13821344 is about 239.9846286452.

The spelling of 13821344 in words is "thirteen million, eight hundred twenty-one thousand, three hundred forty-four".