327334400 has 120 divisors (see below), whose sum is σ = 822000960. Its totient is φ = 129167360.

The previous prime is 327334387. The next prime is 327334411. The reversal of 327334400 is 4433723.

It is a self number, because there is not a number n which added to its sum of digits gives 327334400.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1369481 + ... + 1369719.

It is an arithmetic number, because the mean of its divisors is an integer number (6850008).

Almost surely, 2^327334400 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 327334400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411000480).

327334400 is an abundant number, since it is smaller than the sum of its proper divisors (494666560).

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

327334400 is a wasteful number, since it uses less digits than its factorization.

327334400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 26.

The square root of 327334400 is about 18092.3851385051. The cubic root of 327334400 is about 689.1766416480.

It can be divided in two parts, 3273 and 34400, that added together give a palindrome (37673).

The spelling of 327334400 in words is "three hundred twenty-seven million, three hundred thirty-four thousand, four hundred".