13944384 has 84 divisors (see below), whose sum is σ = 40971216. Its totient is φ = 4531968.

The previous prime is 13944379. The next prime is 13944401. The reversal of 13944384 is 48344931.

13944384 is a `hidden beast` number, since 139 + 443 + 84 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24487 + ... + 25049.

Almost surely, 2^13944384 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 13944384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20485608).

13944384 is an abundant number, since it is smaller than the sum of its proper divisors (27026832).

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

13944384 is a wasteful number, since it uses less digits than its factorization.

13944384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 624 (or 611 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 13944384 is about 3734.2179904232. The cubic root of 13944384 is about 240.6946541254.

It can be divided in two parts, 1394 and 4384, that added together give a triangular number (5778 = T₁₀₇).

The spelling of 13944384 in words is "thirteen million, nine hundred forty-four thousand, three hundred eighty-four".