3057120 has 144 divisors (see below), whose sum is σ = 11439792. Its totient is φ = 737280.

The previous prime is 3057113. The next prime is 3057163. The reversal of 3057120 is 217503.

3057120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 3057093 and 3057102.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 15744 + ... + 15936.

It is an arithmetic number, because the mean of its divisors is an integer number (79443).

Almost surely, 2^3057120 is an apocalyptic number.

3057120 is a gapful number since it is divisible by the number (30) 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 3057120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5719896).

3057120 is an abundant number, since it is smaller than the sum of its proper divisors (8382672).

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

3057120 is a wasteful number, since it uses less digits than its factorization.

3057120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 18.

The square root of 3057120 is about 1748.4621814612. The cubic root of 3057120 is about 145.1345560325.

The spelling of 3057120 in words is "three million, fifty-seven thousand, one hundred twenty".