3300066000 has 480 divisors, whose sum is σ = 14376151296. Its totient is φ = 685440000.

The previous prime is 3300065983. The next prime is 3300066019. The reversal of 3300066000 is 6600033.

3300066000 is a `hidden beast` number, since 3 + 3 + 0 + 0 + 0 + 660 + 0 + 0 = 666.

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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1384810 + ... + 1387190.

Almost surely, 2^3300066000 is an apocalyptic number.

3300066000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3300066000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7188075648).

3300066000 is an abundant number, since it is smaller than the sum of its proper divisors (11076085296).

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

3300066000 is a wasteful number, since it uses less digits than its factorization.

3300066000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2428 (or 2409 counting only the distinct ones).

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

The square root of 3300066000 is about 57446.2009187727. The cubic root of 3300066000 is about 1488.8154782580.

Adding to 3300066000 its reverse (6600033), we get a palindrome (3306666033).

The spelling of 3300066000 in words is "three billion, three hundred million, sixty-six thousand".