3004504272 has 320 divisors, whose sum is σ = 11019294720. Its totient is φ = 761011200.

The previous prime is 3004504271. The next prime is 3004504273. The reversal of 3004504272 is 2724054003.

It is an interprime number because it is at equal distance from previous prime (3004504271) and next prime (3004504273).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3004504271) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 1362723 + ... + 1364925.

It is an arithmetic number, because the mean of its divisors is an integer number (34435296).

Almost surely, 2^3004504272 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 3004504272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5509647360).

3004504272 is an abundant number, since it is smaller than the sum of its proper divisors (8014790448).

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

3004504272 is a wasteful number, since it uses less digits than its factorization.

3004504272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2279 (or 2267 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 3004504272 is about 54813.3585177920. The cubic root of 3004504272 is about 1442.9710187341.

Adding to 3004504272 its reverse (2724054003), we get a palindrome (5728558275).

The spelling of 3004504272 in words is "three billion, four million, five hundred four thousand, two hundred seventy-two".