324360000 has 420 divisors, whose sum is σ = 1253326932. Its totient is φ = 79872000.

The previous prime is 324359989. The next prime is 324360011. The reversal of 324360000 is 63423.

It is an interprime number because it is at equal distance from previous prime (324359989) and next prime (324360011).

It can be written as a sum of positive squares in 10 ways, for example, as 169208064 + 155151936 = 13008^2 + 12456^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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 59 ways as a sum of consecutive naturals, for example, 6119974 + ... + 6120026.

Almost surely, 2^324360000 is an apocalyptic number.

324360000 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 324360000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (626663466).

324360000 is an abundant number, since it is smaller than the sum of its proper divisors (928966932).

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

324360000 is a wasteful number, since it uses less digits than its factorization.

324360000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 324360000 is about 18009.9972237644. The cubic root of 324360000 is about 687.0828323177.

It can be divided in two parts, 324 and 360000, that multiplied together give a square (116640000 = 10800²).

The spelling of 324360000 in words is "three hundred twenty-four million, three hundred sixty thousand".