3300006330 has 48 divisors (see below), whose sum is σ = 8664990984. Its totient is φ = 871286400.

The previous prime is 3300006301. The next prime is 3300006337. The reversal of 3300006330 is 336000033.

3300006330 is a `hidden beast` number, since 3 + 30 + 0 + 0 + 0 + 633 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3290513769 + 9492561 = 57363^2 + 3081^2 .

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

It is not an unprimeable number, because it can be changed into a prime (3300006337) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 172429 + ... + 190608.

Almost surely, 2^3300006330 is an apocalyptic number.

3300006330 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3300006330 is an abundant number, since it is smaller than the sum of its proper divisors (5364984654).

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

3300006330 is a wasteful number, since it uses less digits than its factorization.

3300006330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363151 (or 363148 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 18.

The square root of 3300006330 is about 57445.6815609320. The cubic root of 3300006330 is about 1488.8065048865.

Adding to 3300006330 its reverse (336000033), we get a palindrome (3636006363).

The spelling of 3300006330 in words is "three billion, three hundred million, six thousand, three hundred thirty".