3330900 has 54 divisors (see below), whose sum is σ = 10443342. Its totient is φ = 888000.

The previous prime is 3330889. The next prime is 3330907. The reversal of 3330900 is 90333.

3330900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 133956 + 3196944 = 366^2 + 1788^2 .

It is a super-2 number, since 2×3330900² = 22189789620000, which contains 22 as substring.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3330907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 951 + ... + 2750.

Almost surely, 2^3330900 is an apocalyptic number.

3330900 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3330900 is an abundant number, since it is smaller than the sum of its proper divisors (7112442).

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

3330900 is a wasteful number, since it uses less digits than its factorization.

3330900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3721 (or 3711 counting only the distinct ones).

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

The square root of 3330900 is about 1825.0753409106. The cubic root of 3330900 is about 149.3438001982.

The spelling of 3330900 in words is "three million, three hundred thirty thousand, nine hundred".