321340800 has 384 divisors, whose sum is σ = 1229385600. Its totient is φ = 72908800.

The previous prime is 321340781. The next prime is 321340801. The reversal of 321340800 is 8043123.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (321340801) 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 47 ways as a sum of consecutive naturals, for example, 1795111 + ... + 1795289.

It is an arithmetic number, because the mean of its divisors is an integer number (3201525).

Almost surely, 2^321340800 is an apocalyptic number.

321340800 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 321340800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (614692800).

321340800 is an abundant number, since it is smaller than the sum of its proper divisors (908044800).

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

321340800 is a wasteful number, since it uses less digits than its factorization.

321340800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 321340800 is about 17925.9811446961. The cubic root of 321340800 is about 684.9443540852.

Adding to 321340800 its reverse (8043123), we get a palindrome (329383923).

The spelling of 321340800 in words is "three hundred twenty-one million, three hundred forty thousand, eight hundred".