324364320 has 216 divisors, whose sum is σ = 1287890604. Its totient is φ = 74124288.

The previous prime is 324364319. The next prime is 324364321. The reversal of 324364320 is 23463423.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (324364319) and next prime (324364321).

It can be written as a sum of positive squares in 2 ways, for example, as 290770704 + 33593616 = 17052^2 + 5796^2 .

It is not an unprimeable number, because it can be changed into a prime (324364321) 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 35 ways as a sum of consecutive naturals, for example, 68262 + ... + 72858.

Almost surely, 2^324364320 is an apocalyptic number.

324364320 is a gapful number since it is divisible by the number (30) 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 324364320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (643945302).

324364320 is an abundant number, since it is smaller than the sum of its proper divisors (963526284).

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

324364320 is a wasteful number, since it uses less digits than its factorization.

324364320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4632 (or 4614 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

The square root of 324364320 is about 18010.1171567539. The cubic root of 324364320 is about 687.0858826164.

The spelling of 324364320 in words is "three hundred twenty-four million, three hundred sixty-four thousand, three hundred twenty".