3330080 has 48 divisors (see below), whose sum is σ = 8477784. Its totient is φ = 1228800.

The previous prime is 3330053. The next prime is 3330083. The reversal of 3330080 is 800333.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3055504 + 274576 = 1748^2 + 524^2 .

It is a super-2 number, since 2×3330080² = 22178865612800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3330083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1280 + ... + 2880.

Almost surely, 2^3330080 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 3330080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4238892).

3330080 is an abundant number, since it is smaller than the sum of its proper divisors (5147704).

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

3330080 is a wasteful number, since it uses less digits than its factorization.

3330080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1629 (or 1621 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 3330080 is about 1824.8506788228. The cubic root of 3330080 is about 149.3315440545.

The spelling of 3330080 in words is "three million, three hundred thirty thousand, eighty".