363984 has 20 divisors (see below), whose sum is σ = 940416. Its totient is φ = 121312.

The previous prime is 363977. The next prime is 363989. The reversal of 363984 is 489363.

363984 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 363984.

It is not an unprimeable number, because it can be changed into a prime (363989) by changing a digit.

363984 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3744 + ... + 3839.

2³⁶³⁹⁸⁴ is an apocalyptic number.

It is an amenable number.

363984 is an abundant number, since it is smaller than the sum of its proper divisors (576432).

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

363984 is a wasteful number, since it uses less digits than its factorization.

363984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7594 (or 7588 counting only the distinct ones).

The product of its digits is 15552, while the sum is 33.

The square root of 363984 is about 603.3108651433. The cubic root of 363984 is about 71.3993236446.

The spelling of 363984 in words is "three hundred sixty-three thousand, nine hundred eighty-four".