3330233000 has 64 divisors (see below), whose sum is σ = 7811154000. Its totient is φ = 1328947200.

The previous prime is 3330232991. The next prime is 3330233017. The reversal of 3330233000 is 3320333.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 519748804 + 2810484196 = 22798^2 + 53014^2 .

It is a super-2 number, since 2×3330233000² = 22180903668578000000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3330233000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 445292 + ... + 452708.

Almost surely, 2^3330233000 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 3330233000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3905577000).

3330233000 is an abundant number, since it is smaller than the sum of its proper divisors (4480921000).

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

3330233000 is a wasteful number, since it uses less digits than its factorization.

3330233000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7887 (or 7873 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 17.

The square root of 3330233000 is about 57708.1709985683. The cubic root of 3330233000 is about 1493.3383102424.

Adding to 3330233000 its reverse (3320333), we get a palindrome (3333553333).

The spelling of 3330233000 in words is "three billion, three hundred thirty million, two hundred thirty-three thousand".