3204422400 has 432 divisors, whose sum is σ = 11168285184. Its totient is φ = 808304640.

The previous prime is 3204422387. The next prime is 3204422413. The reversal of 3204422400 is 42244023.

It is an interprime number because it is at equal distance from previous prime (3204422387) and next prime (3204422413).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47827167 + ... + 47827233.

It is an arithmetic number, because the mean of its divisors is an integer number (25852512).

Almost surely, 2^3204422400 is an apocalyptic number.

3204422400 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 3204422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5584142592).

3204422400 is an abundant number, since it is smaller than the sum of its proper divisors (7963862784).

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

3204422400 is a wasteful number, since it uses less digits than its factorization.

3204422400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 21.

The square root of 3204422400 is about 56607.6178619097. The cubic root of 3204422400 is about 1474.2911311793.

Adding to 3204422400 its reverse (42244023), we get a palindrome (3246666423).

The spelling of 3204422400 in words is "three billion, two hundred four million, four hundred twenty-two thousand, four hundred".