3799779616017 has 240 divisors, whose sum is σ = 7913345172480. Its totient is φ = 1760004288000.

The previous prime is 3799779616013. The next prime is 3799779616049. The reversal of 3799779616017 is 7106169779973.

3799779616017 is a `hidden beast` number, since 3 + 7 + 9 + 9 + 7 + 7 + 9 + 6 + 1 + 601 + 7 = 666.

It is not a de Polignac number, because 3799779616017 - 2² = 3799779616013 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3799779616013) 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 239 ways as a sum of consecutive naturals, for example, 34191892 + ... + 34302842.

It is an arithmetic number, because the mean of its divisors is an integer number (32972271552).

Almost surely, 2^{3799779616017} is an apocalyptic number.

It is an amenable number.

3799779616017 is an abundant number, since it is smaller than the sum of its proper divisors (4113565556463).

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

3799779616017 is a wasteful number, since it uses less digits than its factorization.

3799779616017 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111034 (or 111008 counting only the distinct ones).

The product of its (nonzero) digits is 189035532, while the sum is 72.

The spelling of 3799779616017 in words is "three trillion, seven hundred ninety-nine billion, seven hundred seventy-nine million, six hundred sixteen thousand, seventeen".