3004004224 has 64 divisors (see below), whose sum is σ = 6457358880. Its totient is φ = 1383782400.

The previous prime is 3004004221. The next prime is 3004004243. The reversal of 3004004224 is 4224004003.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3004004221) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1048554 + ... + 1051414.

Almost surely, 2^3004004224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3004004224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3228679440).

3004004224 is an abundant number, since it is smaller than the sum of its proper divisors (3453354656).

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

3004004224 is a wasteful number, since it uses less digits than its factorization.

3004004224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3519 (or 3507 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 19.

The square root of 3004004224 is about 54808.7969581526. The cubic root of 3004004224 is about 1442.8909617329.

Adding to 3004004224 its reverse (4224004003), we get a palindrome (7228008227).

The spelling of 3004004224 in words is "three billion, four million, four thousand, two hundred twenty-four".