324126432 has 144 divisors (see below), whose sum is σ = 1078197120. Its totient is φ = 90429696.

The previous prime is 324126379. The next prime is 324126449. The reversal of 324126432 is 234621423.

324126432 is a `hidden beast` number, since 3 + 2 + 4 + 12 + 643 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 324126396 and 324126405.

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 23 ways as a sum of consecutive naturals, for example, 84819 + ... + 88557.

It is an arithmetic number, because the mean of its divisors is an integer number (7487480).

Almost surely, 2^324126432 is an apocalyptic number.

324126432 is a gapful number since it is divisible by the number (32) 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 324126432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539098560).

324126432 is an abundant number, since it is smaller than the sum of its proper divisors (754070688).

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

324126432 is a wasteful number, since it uses less digits than its factorization.

324126432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3805 (or 3794 counting only the distinct ones).

The product of its digits is 6912, while the sum is 27.

The square root of 324126432 is about 18003.5116574517. The cubic root of 324126432 is about 686.9178725010.

Adding to 324126432 its reverse (234621423), we get a palindrome (558747855).

It can be divided in two parts, 324 and 126432, that added together give a triangular number (126756 = T₅₀₃).

The spelling of 324126432 in words is "three hundred twenty-four million, one hundred twenty-six thousand, four hundred thirty-two".