13848384 has 112 divisors (see below), whose sum is σ = 40965120. Its totient is φ = 4093440.

The previous prime is 13848383. The next prime is 13848391. The reversal of 13848384 is 48384831.

It is a super-2 number, since 2×13848384² = 383555478822912, 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 not an unprimeable number, because it can be changed into a prime (13848383) 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 15 ways as a sum of consecutive naturals, for example, 166807 + ... + 166889.

It is an arithmetic number, because the mean of its divisors is an integer number (365760).

Almost surely, 2^13848384 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 13848384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20482560).

13848384 is an abundant number, since it is smaller than the sum of its proper divisors (27116736).

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

13848384 is a wasteful number, since it uses less digits than its factorization.

13848384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 178 counting only the distinct ones).

The product of its digits is 73728, while the sum is 39.

The square root of 13848384 is about 3721.3416935294. The cubic root of 13848384 is about 240.1410282242.

The spelling of 13848384 in words is "thirteen million, eight hundred forty-eight thousand, three hundred eighty-four".