3009948042000 has 320 divisors, whose sum is σ = 10219411987200. Its totient is φ = 760065638400.

The previous prime is 3009948041977. The next prime is 3009948042001. The reversal of 3009948042000 is 2408499003.

It is a self number, because there is not a number n which added to its sum of digits gives 3009948042000.

It is not an unprimeable number, because it can be changed into a prime (3009948042001) 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 63 ways as a sum of consecutive naturals, for example, 337093536 + ... + 337102464.

It is an arithmetic number, because the mean of its divisors is an integer number (31935662460).

Almost surely, 2^{3009948042000} is an apocalyptic number.

3009948042000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3009948042000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5109705993600).

3009948042000 is an abundant number, since it is smaller than the sum of its proper divisors (7209463945200).

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

3009948042000 is a wasteful number, since it uses less digits than its factorization.

3009948042000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11931 (or 11915 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The spelling of 3009948042000 in words is "three trillion, nine billion, nine hundred forty-eight million, forty-two thousand".