13884444 has 108 divisors (see below), whose sum is σ = 43321824. Its totient is φ = 3725568.

The previous prime is 13884419. The next prime is 13884467. The reversal of 13884444 is 44448831.

13884444 is a `hidden beast` number, since 138 + 84 + 444 = 666.

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

13884444 is a modest number, since divided by 4444 gives 1388 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 13884399 and 13884408.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 29757 + ... + 30219.

It is an arithmetic number, because the mean of its divisors is an integer number (401128).

Almost surely, 2^13884444 is an apocalyptic number.

13884444 is a gapful number since it is divisible by the number (14) 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 13884444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21660912).

13884444 is an abundant number, since it is smaller than the sum of its proper divisors (29437380).

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

13884444 is a wasteful number, since it uses less digits than its factorization.

13884444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504 (or 492 counting only the distinct ones).

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

The square root of 13884444 is about 3726.1835703572. The cubic root of 13884444 is about 240.3492830922.

It can be divided in two parts, 1388 and 4444, that added together give a cube (5832 = 18³).

The spelling of 13884444 in words is "thirteen million, eight hundred eighty-four thousand, four hundred forty-four".