3000330 has 96 divisors (see below), whose sum is σ = 8643024. Its totient is φ = 718848.

The previous prime is 3000317. The next prime is 3000331. The reversal of 3000330 is 330003.

It can be written as a sum of positive squares in 8 ways, for example, as 2614689 + 385641 = 1617^2 + 621^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

3000330 is a modest number, since divided by 330 gives 300 as remainder.

It is not an unprimeable number, because it can be changed into a prime (3000331) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 56584 + ... + 56636.

Almost surely, 2^3000330 is an apocalyptic number.

3000330 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3000330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4321512).

3000330 is an abundant number, since it is smaller than the sum of its proper divisors (5642694).

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

3000330 is a wasteful number, since it uses less digits than its factorization.

3000330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 9.

The square root of 3000330 is about 1732.1460677437. The cubic root of 3000330 is about 144.2302450853.

Adding to 3000330 its reverse (330003), we get a palindrome (3330333).

The spelling of 3000330 in words is "three million, three hundred thirty", and thus it is an aban number.