323640000 has 420 divisors, whose sum is σ = 1237853760. Its totient is φ = 80640000.

The previous prime is 323639993. The next prime is 323640001. The reversal of 323640000 is 46323.

323640000 is a `hidden beast` number, since 3 + 23 + 640 + 0 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (323640001) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 10439985 + ... + 10440015.

Almost surely, 2^323640000 is an apocalyptic number.

323640000 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 323640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (618926880).

323640000 is an abundant number, since it is smaller than the sum of its proper divisors (914213760).

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

323640000 is a wasteful number, since it uses less digits than its factorization.

323640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 70 counting only the distinct ones).

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

The square root of 323640000 is about 17989.9972206779. The cubic root of 323640000 is about 686.5740703158.

Adding to 323640000 its reverse (46323), we get a palindrome (323686323).

The spelling of 323640000 in words is "three hundred twenty-three million, six hundred forty thousand".