324313600 has 120 divisors (see below), whose sum is σ = 865764900. Its totient is φ = 119685120.

The previous prime is 324313589. The next prime is 324313601. The reversal of 324313600 is 6313423.

It can be written as a sum of positive squares in 6 ways, for example, as 107163904 + 217149696 = 10352^2 + 14736^2 .

It is a super-3 number, since 3×324313600³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (324313601) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 165426 + ... + 167374.

Almost surely, 2^324313600 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 324313600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432882450).

324313600 is an abundant number, since it is smaller than the sum of its proper divisors (541451300).

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

324313600 is a wasteful number, since it uses less digits than its factorization.

324313600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1990 (or 1969 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

The square root of 324313600 is about 18008.7090042568. The cubic root of 324313600 is about 687.0500681424.

It can be divided in two parts, 324 and 313600, that multiplied together give a square (101606400 = 10080²).

The spelling of 324313600 in words is "three hundred twenty-four million, three hundred thirteen thousand, six hundred".