3004441440 has 768 divisors, whose sum is σ = 13127546880. Its totient is φ = 560701440.

The previous prime is 3004441423. The next prime is 3004441459. The reversal of 3004441440 is 441444003.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 3004441440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 81201102 + ... + 81201138.

It is an arithmetic number, because the mean of its divisors is an integer number (17093160).

Almost surely, 2^3004441440 is an apocalyptic number.

3004441440 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 3004441440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6563773440).

3004441440 is an abundant number, since it is smaller than the sum of its proper divisors (10123105440).

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

3004441440 is a wasteful number, since it uses less digits than its factorization.

3004441440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 3004441440 is about 54812.7853698387. The cubic root of 3004441440 is about 1442.9609599047.

Adding to 3004441440 its reverse (441444003), we get a palindrome (3445885443).

It can be divided in two parts, 3004 and 441440, that added together give a palindrome (444444).

The spelling of 3004441440 in words is "three billion, four million, four hundred forty-one thousand, four hundred forty".