3030003030006 has 192 divisors, whose sum is σ = 6939115762176. Its totient is φ = 954320486400.

The previous prime is 3030003029927. The next prime is 3030003030029. The reversal of 3030003030006 is 6000303000303.

3030003030006 is a `hidden beast` number, since 30 + 300 + 0 + 30 + 300 + 0 + 6 = 666.

3030003030006 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 (18).

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, 3219981496 + ... + 3219982436.

It is an arithmetic number, because the mean of its divisors is an integer number (36141227928).

Almost surely, 2^{3030003030006} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3030003030006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3469557881088).

3030003030006 is an abundant number, since it is smaller than the sum of its proper divisors (3909112732170).

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

3030003030006 is a wasteful number, since it uses less digits than its factorization.

3030003030006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1767 (or 1764 counting only the distinct ones).

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

Adding to 3030003030006 its reverse (6000303000303), we get a palindrome (9030306030309).

The spelling of 3030003030006 in words is "three trillion, thirty billion, three million, thirty thousand, six".