3300000002000 has 320 divisors, whose sum is σ = 8809536153600. Its totient is φ = 1187985254400.

The previous prime is 3300000001939. The next prime is 3300000002041. The reversal of 3300000002000 is 2000000033.

3300000002000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 328712981 + ... + 328723019.

It is an arithmetic number, because the mean of its divisors is an integer number (27529800480).

Almost surely, 2^{3300000002000} 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 3300000002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4404768076800).

3300000002000 is an abundant number, since it is smaller than the sum of its proper divisors (5509536151600).

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

3300000002000 is a wasteful number, since it uses less digits than its factorization.

3300000002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10391 (or 10375 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 8.

Adding to 3300000002000 its reverse (2000000033), we get a palindrome (3302000002033).

The spelling of 3300000002000 in words is "three trillion, three hundred billion, two thousand".