3004441024 has 56 divisors (see below), whose sum is σ = 6445989648. Its totient is φ = 1381171200.

The previous prime is 3004441007. The next prime is 3004441031. The reversal of 3004441024 is 4201444003.

It is a junction number, because it is equal to n+sod(n) for n = 3004440986 and 3004441004.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 206799 + ... + 220849.

It is an arithmetic number, because the mean of its divisors is an integer number (115106958).

Almost surely, 2^3004441024 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 3004441024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3222994824).

3004441024 is an abundant number, since it is smaller than the sum of its proper divisors (3441548624).

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

3004441024 is a wasteful number, since it uses less digits than its factorization.

3004441024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14333 (or 14323 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 3004441024 is about 54812.7815751034. The cubic root of 3004441024 is about 1442.9608933065.

Adding to 3004441024 its reverse (4201444003), we get a palindrome (7205885027).

The spelling of 3004441024 in words is "three billion, four million, four hundred forty-one thousand, twenty-four".