Chomby was walking down a path one day when Jhudora appeared in front of it. "Solve this puzzle, and you may pass," she said.
Suppose you have four numbered tiles, one with a 3 on it, one with a 4, one with a 5, and one with a 6.
What is the largest four-digit number that can be formed by these tiles that is not evenly divisible by 9? Only submit a four-digit number as your answer; any other information may disqualify your entry.