325344000 has 144 divisors (see below), whose sum is σ = 1080948960. Its totient is φ = 86732800.

The previous prime is 325343989. The next prime is 325344001. The reversal of 325344000 is 443523.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (325344001) 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 15 ways as a sum of consecutive naturals, for example, 94306 + ... + 97694.

It is an arithmetic number, because the mean of its divisors is an integer number (7506590).

Almost surely, 2^325344000 is an apocalyptic number.

325344000 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 325344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540474480).

325344000 is an abundant number, since it is smaller than the sum of its proper divisors (755604960).

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

325344000 is an equidigital number, since it uses as much as digits as its factorization.

325344000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3423 (or 3399 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 21.

The square root of 325344000 is about 18037.2946973763. The cubic root of 325344000 is about 687.7769242529.

Adding to 325344000 its reverse (443523), we get a palindrome (325787523).

The spelling of 325344000 in words is "three hundred twenty-five million, three hundred forty-four thousand".