3330990404 has 72 divisors (see below), whose sum is σ = 7194209400. Its totient is φ = 1340903424.

The previous prime is 3330990401. The next prime is 3330990407. The reversal of 3330990404 is 4040990333.

It is an interprime number because it is at equal distance from previous prime (3330990401) and next prime (3330990407).

It can be written as a sum of positive squares in 4 ways, for example, as 1501717504 + 1829272900 = 38752^2 + 42770^2 .

It is a super-2 number, since 2×3330990404² = 22190994143080166432, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3330990401) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 3174872 + ... + 3175920.

It is an arithmetic number, because the mean of its divisors is an integer number (99919575).

Almost surely, 2^3330990404 is an apocalyptic number.

3330990404 is a gapful number since it is divisible by the number (34) 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 3330990404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3597104700).

3330990404 is an abundant number, since it is smaller than the sum of its proper divisors (3863218996).

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

3330990404 is a wasteful number, since it uses less digits than its factorization.

3330990404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2037 (or 2028 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 35.

The square root of 3330990404 is about 57714.7329890731. The cubic root of 3330990404 is about 1493.4515129997.

The spelling of 3330990404 in words is "three billion, three hundred thirty million, nine hundred ninety thousand, four hundred four".