3004978338208 has 144 divisors (see below), whose sum is σ = 7710491670336. Its totient is φ = 1119867217920.

The previous prime is 3004978338199. The next prime is 3004978338209. The reversal of 3004978338208 is 8028338794003.

3004978338208 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (3004978338209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 150760 + ... + 2456152.

It is an arithmetic number, because the mean of its divisors is an integer number (53545081044).

Almost surely, 2^{3004978338208} 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 3004978338208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3855245835168).

3004978338208 is an abundant number, since it is smaller than the sum of its proper divisors (4705513332128).

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

3004978338208 is a wasteful number, since it uses less digits than its factorization.

3004978338208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2305467 (or 2305436 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 55.

The spelling of 3004978338208 in words is "three trillion, four billion, nine hundred seventy-eight million, three hundred thirty-eight thousand, two hundred eight".