3330090 has 48 divisors (see below), whose sum is σ = 8749728. Its totient is φ = 878688.

The previous prime is 3330083. The next prime is 3330121. The reversal of 3330090 is 900333.

It is a super-2 number, since 2×3330090² = 22178998816200, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14557 + ... + 14783.

It is an arithmetic number, because the mean of its divisors is an integer number (182286).

Almost surely, 2^3330090 is an apocalyptic number.

3330090 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 3330090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4374864).

3330090 is an abundant number, since it is smaller than the sum of its proper divisors (5419638).

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

3330090 is a wasteful number, since it uses less digits than its factorization.

3330090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 18.

The square root of 3330090 is about 1824.8534187709. The cubic root of 3330090 is about 149.3316935318.

Adding to 3330090 its product of nonzero digits (243), we get a palindrome (3330333).

The spelling of 3330090 in words is "three million, three hundred thirty thousand, ninety".