324913680 has 800 divisors, whose sum is σ = 1512403200. Its totient is φ = 62705664.

The previous prime is 324913669. The next prime is 324913769. The reversal of 324913680 is 86319423.

324913680 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×324913680² = 211137798902284800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 11203906 + ... + 11203934.

It is an arithmetic number, because the mean of its divisors is an integer number (1890504).

Almost surely, 2^324913680 is an apocalyptic number.

324913680 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 324913680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (756201600).

324913680 is an abundant number, since it is smaller than the sum of its proper divisors (1187489520).

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

324913680 is a wasteful number, since it uses less digits than its factorization.

324913680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 78 counting only the distinct ones).

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

The square root of 324913680 is about 18025.3621322846. The cubic root of 324913680 is about 687.4735584321.

The spelling of 324913680 in words is "three hundred twenty-four million, nine hundred thirteen thousand, six hundred eighty".