3324432400 has 60 divisors (see below), whose sum is σ = 8262389700. Its totient is φ = 1283914240.

The previous prime is 3324432389. The next prime is 3324432437. The reversal of 3324432400 is 42344233.

It can be written as a sum of positive squares in 6 ways, for example, as 94556176 + 3229876224 = 9724^2 + 56832^2 .

It is a super-2 number, since 2×3324432400² = 22103701564339520000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 131695 + ... + 154894.

It is an arithmetic number, because the mean of its divisors is an integer number (137706495).

Almost surely, 2^3324432400 is an apocalyptic number.

It is an amenable number.

3324432400 is an abundant number, since it is smaller than the sum of its proper divisors (4937957300).

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

3324432400 is a wasteful number, since it uses less digits than its factorization.

3324432400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286636 (or 286625 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 25.

The square root of 3324432400 is about 57657.8910471065. The cubic root of 3324432400 is about 1492.4707741089.

Adding to 3324432400 its reverse (42344233), we get a palindrome (3366776633).

The spelling of 3324432400 in words is "three billion, three hundred twenty-four million, four hundred thirty-two thousand, four hundred".