3004108272 has 120 divisors (see below), whose sum is σ = 9196040880. Its totient is φ = 907914240.

The previous prime is 3004108213. The next prime is 3004108363. The reversal of 3004108272 is 2728014003.

3004108272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×3004108272³ (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 645538 + ... + 650174.

It is an arithmetic number, because the mean of its divisors is an integer number (76633674).

Almost surely, 2^3004108272 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 3004108272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4598020440).

3004108272 is an abundant number, since it is smaller than the sum of its proper divisors (6191932608).

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

3004108272 is a wasteful number, since it uses less digits than its factorization.

3004108272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5071 (or 5062 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 3004108272 is about 54809.7461406272. The cubic root of 3004108272 is about 1442.9076204074.

The spelling of 3004108272 in words is "three billion, four million, one hundred eight thousand, two hundred seventy-two".