3330213264 has 225 divisors, whose sum is σ = 11261428497. Its totient is φ = 947334528.

The previous prime is 3330213253. The next prime is 3330213281. The reversal of 3330213264 is 4623120333.

It is a happy number.

The square root of 3330213264 is 57708.

It is a perfect power (a square), and thus also a powerful number.

3330213264 is a `hidden beast` number, since 3 + 330 + 2 + 1 + 326 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3101598864 + 228614400 = 55692^2 + 15120^2 .

It is a super-2 number, since 2×3330213264² = 22180640767443067392, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 14542302 + ... + 14542530.

Almost surely, 2^3330213264 is an apocalyptic number.

3330213264 is the 57708-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3330213264

3330213264 is an abundant number, since it is smaller than the sum of its proper divisors (7931215233).

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

3330213264 is an equidigital number, since it uses as much as digits as its factorization.

3330213264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

The cubic root of 3330213264 is about 1493.3353602403.

Adding to 3330213264 its reverse (4623120333), we get a palindrome (7953333597).

The spelling of 3330213264 in words is "three billion, three hundred thirty million, two hundred thirteen thousand, two hundred sixty-four".