3004044400 has 120 divisors (see below), whose sum is σ = 8682519680. Its totient is φ = 975732480.

The previous prime is 3004044377. The next prime is 3004044479. The reversal of 3004044400 is 44404003.

It is a Harshad number since it is a multiple of its sum of digits (19).

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, 24967 + ... + 81433.

Almost surely, 2^3004044400 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 3004044400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4341259840).

3004044400 is an abundant number, since it is smaller than the sum of its proper divisors (5678475280).

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

3004044400 is a wasteful number, since it uses less digits than its factorization.

3004044400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56511 (or 56500 counting only the distinct ones).

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

The square root of 3004044400 is about 54809.1634674349. The cubic root of 3004044400 is about 1442.8973941838.

Adding to 3004044400 its reverse (44404003), we get a palindrome (3048448403).

The spelling of 3004044400 in words is "three billion, four million, forty-four thousand, four hundred".