324384 has 48 divisors (see below), whose sum is σ = 887040. Its totient is φ = 103680.

The previous prime is 324361. The next prime is 324391. The reversal of 324384 is 483423.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is an unprimeable number.

324384 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 7 ways as a sum of consecutive naturals, for example, 2922 + ... + 3030.

It is an arithmetic number, because the mean of its divisors is an integer number (18480).

2³²⁴³⁸⁴ 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 324384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443520).

324384 is an abundant number, since it is smaller than the sum of its proper divisors (562656).

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

324384 is a wasteful number, since it uses less digits than its factorization.

324384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 145 counting only the distinct ones).

The product of its digits is 2304, while the sum is 24.

The square root of 324384 is about 569.5471885630. The cubic root of 324384 is about 68.7099778079.

The spelling of 324384 in words is "three hundred twenty-four thousand, three hundred eighty-four".