324378432 has 210 divisors, whose sum is σ = 1119424482. Its totient is φ = 92606976.

The previous prime is 324378421. The next prime is 324378449. The reversal of 324378432 is 234873423.

It can be written as a sum of positive squares in only one way, i.e., 293642496 + 30735936 = 17136^2 + 5544^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 253378 + ... + 254654.

Almost surely, 2^324378432 is an apocalyptic number.

324378432 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 324378432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (559712241).

324378432 is an abundant number, since it is smaller than the sum of its proper divisors (795046050).

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

324378432 is a wasteful number, since it uses less digits than its factorization.

324378432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1315 (or 1289 counting only the distinct ones).

The product of its digits is 96768, while the sum is 36.

The square root of 324378432 is about 18010.5089322873. The cubic root of 324378432 is about 687.0958467368.

The spelling of 324378432 in words is "three hundred twenty-four million, three hundred seventy-eight thousand, four hundred thirty-two".