3417122314116 has 405 divisors, whose sum is σ = 11051513591349. Its totient is φ = 917825271552.

The previous prime is 3417122314103. The next prime is 3417122314261. The reversal of 3417122314116 is 6114132217143.

The square root of 3417122314116 is 1848546.

It is a perfect power (a square), and thus also a powerful number.

3417122314116 is a `hidden beast` number, since 3 + 4 + 1 + 7 + 1 + 2 + 231 + 411 + 6 = 666.

3417122314116 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 2660389344900 + 756732969216 = 1631070^2 + 869904^2 .

It is a super-3 number, since 3×3417122314116³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 3959585101 + ... + 3959585963.

Almost surely, 2^{3417122314116} is an apocalyptic number.

3417122314116 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

3417122314116 is the 1848546-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3417122314116

3417122314116 is an abundant number, since it is smaller than the sum of its proper divisors (7634391277233).

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

3417122314116 is an equidigital number, since it uses as much as digits as its factorization.

3417122314116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1790 (or 892 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

Multiplying 3417122314116 by its sum of digits (36), we get a square (123016403308176 = 11091276²).

3417122314116 divided by its sum of digits (36) gives a square (94920064281 = 308091²).

The spelling of 3417122314116 in words is "three trillion, four hundred seventeen billion, one hundred twenty-two million, three hundred fourteen thousand, one hundred sixteen".