324134400 has 240 divisors, whose sum is σ = 1120356864. Its totient is φ = 82452480.

The previous prime is 324134341. The next prime is 324134401. The reversal of 324134400 is 4431423.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (324134401) 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 23 ways as a sum of consecutive naturals, for example, 883017 + ... + 883383.

Almost surely, 2^324134400 is an apocalyptic number.

324134400 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 324134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560178432).

324134400 is an abundant number, since it is smaller than the sum of its proper divisors (796222464).

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

324134400 is a wasteful number, since it uses less digits than its factorization.

324134400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 324134400 is about 18003.7329462531. The cubic root of 324134400 is about 686.9235012888.

Adding to 324134400 its reverse (4431423), we get a palindrome (328565823).

The spelling of 324134400 in words is "three hundred twenty-four million, one hundred thirty-four thousand, four hundred".