3005038272 has 112 divisors (see below), whose sum is σ = 8073969120. Its totient is φ = 986284032.

The previous prime is 3005038249. The next prime is 3005038279. The reversal of 3005038272 is 2728305003.

3005038272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (3005038279) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5903554 + ... + 5904062.

It is an arithmetic number, because the mean of its divisors is an integer number (72089010).

Almost surely, 2^3005038272 is an apocalyptic number.

3005038272 is a gapful number since it is divisible by the number (32) 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 3005038272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4036984560).

3005038272 is an abundant number, since it is smaller than the sum of its proper divisors (5068930848).

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

3005038272 is a wasteful number, since it uses less digits than its factorization.

3005038272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 938 (or 928 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 3005038272 is about 54818.2293767320. The cubic root of 3005038272 is about 1443.0565015967.

The spelling of 3005038272 in words is "three billion, five million, thirty-eight thousand, two hundred seventy-two".