12396384 has 288 divisors, whose sum is σ = 48432384. Its totient is φ = 2903040.

The previous prime is 12396361. The next prime is 12396389. The reversal of 12396384 is 48369321.

12396384 is a `hidden beast` number, since 12 + 3 + 9 + 638 + 4 = 666.

12396384 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12396389) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 288267 + ... + 288309.

It is an arithmetic number, because the mean of its divisors is an integer number (168168).

Almost surely, 2^12396384 is an apocalyptic number.

12396384 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 12396384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24216192).

12396384 is an abundant number, since it is smaller than the sum of its proper divisors (36036000).

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

12396384 is a wasteful number, since it uses less digits than its factorization.

12396384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 79 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 12396384 is about 3520.8498973969. The cubic root of 12396384 is about 231.4364044641.

The spelling of 12396384 in words is "twelve million, three hundred ninety-six thousand, three hundred eighty-four".