3004084944 has 360 divisors, whose sum is σ = 10345219560. Its totient is φ = 810141696.

The previous prime is 3004084939. The next prime is 3004084981. The reversal of 3004084944 is 4494804003.

It can be written as a sum of positive squares in 4 ways, for example, as 335329344 + 2668755600 = 18312^2 + 51660^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3004084899 and 3004084908.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10844934 + ... + 10845210.

It is an arithmetic number, because the mean of its divisors is an integer number (28736721).

Almost surely, 2^3004084944 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 3004084944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5172609780).

3004084944 is an abundant number, since it is smaller than the sum of its proper divisors (7341134616).

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

3004084944 is a wasteful number, since it uses less digits than its factorization.

3004084944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 3004084944 is about 54809.5333313467. The cubic root of 3004084944 is about 1442.9038854959.

Adding to 3004084944 its reverse (4494804003), we get a palindrome (7498888947).

The spelling of 3004084944 in words is "three billion, four million, eighty-four thousand, nine hundred forty-four".