3005885272 has 144 divisors (see below), whose sum is σ = 6799569840. Its totient is φ = 1235862144.

The previous prime is 3005885257. The next prime is 3005885327. The reversal of 3005885272 is 2725885003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 50947179 + ... + 50947237.

It is an arithmetic number, because the mean of its divisors is an integer number (47219235).

Almost surely, 2^3005885272 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 3005885272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3399784920).

3005885272 is an abundant number, since it is smaller than the sum of its proper divisors (3793684568).

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

3005885272 is a wasteful number, since it uses less digits than its factorization.

3005885272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 40.

The square root of 3005885272 is about 54825.9543646985. The cubic root of 3005885272 is about 1443.1920688151.

The spelling of 3005885272 in words is "three billion, five million, eight hundred eighty-five thousand, two hundred seventy-two".