3321002003000 has 256 divisors, whose sum is σ = 9033549183360. Its totient is φ = 1129350144000.

The previous prime is 3321002002987. The next prime is 3321002003023. The reversal of 3321002003000 is 3002001233.

It is a super-2 number, since 2×3321002003000² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29302442 + ... + 29415558.

Almost surely, 2^{3321002003000} 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 3321002003000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4516774591680).

3321002003000 is an abundant number, since it is smaller than the sum of its proper divisors (5712547180360).

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

3321002003000 is a wasteful number, since it uses less digits than its factorization.

3321002003000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113323 (or 113309 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 14.

Adding to 3321002003000 its reverse (3002001233), we get a palindrome (3324004004233).

The spelling of 3321002003000 in words is "three trillion, three hundred twenty-one billion, two million, three thousand".