13844484 has 72 divisors (see below), whose sum is σ = 36855000. Its totient is φ = 4376064.

The previous prime is 13844471. The next prime is 13844497. The reversal of 13844484 is 48444831.

13844484 is a `hidden beast` number, since 138 + 44 + 484 = 666.

It is an interprime number because it is at equal distance from previous prime (13844471) and next prime (13844497).

It can be written as a sum of positive squares in 4 ways, for example, as 6084 + 13838400 = 78^2 + 3720^2 .

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

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 23 ways as a sum of consecutive naturals, for example, 92842 + ... + 92990.

It is an arithmetic number, because the mean of its divisors is an integer number (511875).

Almost surely, 2^13844484 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 13844484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18427500).

13844484 is an abundant number, since it is smaller than the sum of its proper divisors (23010516).

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

13844484 is a wasteful number, since it uses less digits than its factorization.

13844484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 272 counting only the distinct ones).

The product of its digits is 49152, while the sum is 36.

The square root of 13844484 is about 3720.8176520760. The cubic root of 13844484 is about 240.1184831643.

The spelling of 13844484 in words is "thirteen million, eight hundred forty-four thousand, four hundred eighty-four".