3000329738268 has 48 divisors (see below), whose sum is σ = 7433227388160. Its totient is φ = 938657945344.

The previous prime is 3000329738261. The next prime is 3000329738297. The reversal of 3000329738268 is 8628379230003.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 3000329738268.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3000329738261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20410746 + ... + 20557217.

It is an arithmetic number, because the mean of its divisors is an integer number (154858903920).

Almost surely, 2^{3000329738268} is an apocalyptic number.

It is an amenable number.

3000329738268 is an abundant number, since it is smaller than the sum of its proper divisors (4432897649892).

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

3000329738268 is a wasteful number, since it uses less digits than its factorization.

3000329738268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40968346 (or 40968344 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 51.

The spelling of 3000329738268 in words is "three trillion, three hundred twenty-nine million, seven hundred thirty-eight thousand, two hundred sixty-eight".