3333002000 has 80 divisors (see below), whose sum is σ = 8133668400. Its totient is φ = 1320883200.

The previous prime is 3333001993. The next prime is 3333002027. The reversal of 3333002000 is 2003333.

It can be written as a sum of positive squares in 8 ways, for example, as 607326736 + 2725675264 = 24644^2 + 52208^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×3333002000² = 22217804664008000000, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 210356 + ... + 225644.

It is an arithmetic number, because the mean of its divisors is an integer number (101670855).

Almost surely, 2^3333002000 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 3333002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4066834200).

3333002000 is an abundant number, since it is smaller than the sum of its proper divisors (4800666400).

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

3333002000 is a wasteful number, since it uses less digits than its factorization.

3333002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15421 (or 15405 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 14.

The square root of 3333002000 is about 57732.1574168158. The cubic root of 3333002000 is about 1493.7520859200.

Adding to 3333002000 its reverse (2003333), we get a palindrome (3335005333).

The spelling of 3333002000 in words is "three billion, three hundred thirty-three million, two thousand".