13824384 has 128 divisors (see below), whose sum is σ = 43411200. Its totient is φ = 3815424.

The previous prime is 13824379. The next prime is 13824401. The reversal of 13824384 is 48342831.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×13824384² = 382227185958912, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99387 + ... + 99525.

It is an arithmetic number, because the mean of its divisors is an integer number (339150).

Almost surely, 2^13824384 is an apocalyptic number.

13824384 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 13824384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21705600).

13824384 is an abundant number, since it is smaller than the sum of its proper divisors (29586816).

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

13824384 is a wasteful number, since it uses less digits than its factorization.

13824384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 188 counting only the distinct ones).

The product of its digits is 18432, while the sum is 33.

The square root of 13824384 is about 3718.1156517785. The cubic root of 13824384 is about 240.0022222016.

It can be divided in two parts, 13824 and 384, that multiplied together give a 4-th power (5308416 = 48⁴).

The spelling of 13824384 in words is "thirteen million, eight hundred twenty-four thousand, three hundred eighty-four".