3005120 has 28 divisors (see below), whose sum is σ = 7156704. Its totient is φ = 1201920.

The previous prime is 3005117. The next prime is 3005129. The reversal of 3005120 is 215003.

3005120 is digitally balanced in base 2 and base 5, because in such bases 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 (3005129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4376 + ... + 5015.

Almost surely, 2^3005120 is an apocalyptic number.

It is an amenable number.

3005120 is an abundant number, since it is smaller than the sum of its proper divisors (4151584).

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

3005120 is an equidigital number, since it uses as much as digits as its factorization.

3005120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9408 (or 9398 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 11.

The square root of 3005120 is about 1733.5281941751. The cubic root of 3005120 is about 144.3069583743.

It can be divided in two parts, 3005 and 120, that added together give a 5-th power (3125 = 5⁵).

The spelling of 3005120 in words is "three million, five thousand, one hundred twenty".