3830842068768 has 2304 divisors, whose sum is σ = 14959611878400. Its totient is φ = 953842728960.

The previous prime is 3830842068733. The next prime is 3830842068793. The reversal of 3830842068768 is 8678602480383.

3830842068768 is a `hidden beast` number, since 3 + 83 + 0 + 8 + 420 + 68 + 76 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 43043169268 + ... + 43043169356.

It is an arithmetic number, because the mean of its divisors is an integer number (6492887100).

Almost surely, 2^{3830842068768} 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 3830842068768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7479805939200).

3830842068768 is an abundant number, since it is smaller than the sum of its proper divisors (11128769809632).

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

3830842068768 is a wasteful number, since it uses less digits than its factorization.

3830842068768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 74317824, while the sum is 63.

The spelling of 3830842068768 in words is "three trillion, eight hundred thirty billion, eight hundred forty-two million, sixty-eight thousand, seven hundred sixty-eight".