3007120 has 20 divisors (see below), whose sum is σ = 6991740. Its totient is φ = 1202816.

The previous prime is 3007091. The next prime is 3007129. The reversal of 3007120 is 217003.

It can be written as a sum of positive squares in 2 ways, for example, as 1557504 + 1449616 = 1248^2 + 1204^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a self number, because there is not a number n which added to its sum of digits gives 3007120.

It is not an unprimeable number, because it can be changed into a prime (3007129) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 18715 + ... + 18874.

It is an arithmetic number, because the mean of its divisors is an integer number (349587).

Almost surely, 2^3007120 is an apocalyptic number.

It is an amenable number.

3007120 is an abundant number, since it is smaller than the sum of its proper divisors (3984620).

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

3007120 is a wasteful number, since it uses less digits than its factorization.

3007120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37602 (or 37596 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 13.

The square root of 3007120 is about 1734.1049564545. The cubic root of 3007120 is about 144.3389648514.

The spelling of 3007120 in words is "three million, seven thousand, one hundred twenty".