3330404 has 36 divisors (see below), whose sum is σ = 7328832. Its totient is φ = 1296240.

The previous prime is 3330401. The next prime is 3330409. The reversal of 3330404 is 4040333.

3330404 = 17³ + 18³ + ... + 60³.

It is a super-2 number, since 2×3330404² = 22183181606432, which contains 22 as substring.

It is a plaindrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (3330401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2897 + ... + 3879.

Almost surely, 2^3330404 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 3330404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3664416).

3330404 is an abundant number, since it is smaller than the sum of its proper divisors (3998428).

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

3330404 is a wasteful number, since it uses less digits than its factorization.

3330404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1016 (or 1003 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 17.

The square root of 3330404 is about 1824.9394510504. The cubic root of 3330404 is about 149.3363869663.

Adding to 3330404 its reverse (4040333), we get a palindrome (7370737).

The spelling of 3330404 in words is "three million, three hundred thirty thousand, four hundred four".