3007980 has 72 divisors (see below), whose sum is σ = 9670752. Its totient is φ = 754176.

The previous prime is 3007973. The next prime is 3007981. The reversal of 3007980 is 897003.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (3007981) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2569 + ... + 3551.

It is an arithmetic number, because the mean of its divisors is an integer number (134316).

Almost surely, 2^3007980 is an apocalyptic number.

3007980 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 3007980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4835376).

3007980 is an abundant number, since it is smaller than the sum of its proper divisors (6662772).

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

3007980 is a wasteful number, since it uses less digits than its factorization.

3007980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1015 (or 1010 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 3007980 is about 1734.3529052647. The cubic root of 3007980 is about 144.3527232734.

The spelling of 3007980 in words is "three million, seven thousand, nine hundred eighty".