3301003330002 has 120 divisors (see below), whose sum is σ = 8393687055936. Its totient is φ = 937494191088.

The previous prime is 3301003329991. The next prime is 3301003330039. The reversal of 3301003330002 is 2000333001033.

3301003330002 is a `hidden beast` number, since 330 + 1 + 0 + 0 + 3 + 330 + 0 + 0 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 6988723 + ... + 7446089.

Almost surely, 2^{3301003330002} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3301003330002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4196843527968).

3301003330002 is an abundant number, since it is smaller than the sum of its proper divisors (5092683725934).

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

3301003330002 is a wasteful number, since it uses less digits than its factorization.

3301003330002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 457570 (or 457546 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 18.

Adding to 3301003330002 its reverse (2000333001033), we get a palindrome (5301336331035).

The spelling of 3301003330002 in words is "three trillion, three hundred one billion, three million, three hundred thirty thousand, two".