3006220 has 48 divisors (see below), whose sum is σ = 7318080. Its totient is φ = 1016064.

The previous prime is 3006193. The next prime is 3006233. The reversal of 3006220 is 226003.

It is a self number, because there is not a number n which added to its sum of digits gives 3006220.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15162 + ... + 15358.

It is an arithmetic number, because the mean of its divisors is an integer number (152460).

Almost surely, 2^3006220 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 3006220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3659040).

3006220 is an abundant number, since it is smaller than the sum of its proper divisors (4311860).

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

3006220 is a wasteful number, since it uses less digits than its factorization.

3006220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 3006220 is about 1733.8454371714. The cubic root of 3006220 is about 144.3245636935.

The spelling of 3006220 in words is "three million, six thousand, two hundred twenty".