3300006600 has 144 divisors (see below), whose sum is σ = 12090096720. Its totient is φ = 799996800.

The previous prime is 3300006587. The next prime is 3300006613. The reversal of 3300006600 is 66000033.

3300006600 is a `hidden beast` number, since 3 + 3 + 0 + 0 + 0 + 0 + 660 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3300006587) and next prime (3300006613).

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 zygodrome in base 10.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 63534 + ... + 103133.

It is an arithmetic number, because the mean of its divisors is an integer number (83959005).

Almost surely, 2^3300006600 is an apocalyptic number.

3300006600 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3300006600 is an abundant number, since it is smaller than the sum of its proper divisors (8790090120).

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

3300006600 is a wasteful number, since it uses less digits than its factorization.

3300006600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166700 (or 166688 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 3300006600 is about 57445.6839109780. The cubic root of 3300006600 is about 1488.8065454902.

Adding to 3300006600 its reverse (66000033), we get a palindrome (3366006633).

The spelling of 3300006600 in words is "three billion, three hundred million, six thousand, six hundred".