In the interesting knowledge quick answer competition, there are 3 questions, the full score of each question is 7 points, and only natural numbers 1, 2, 3, 4, 5, 6, and 7 points can be given when giving points. It is known that after the competition, the product of the scores of each person's 3 questions is 36, and the scores of each person's 3 questions are different from each other, so how many people can participate in the competition at most?
在趣味知识抢答竞赛中，有3道题，每题满分7分，给分时只能给出自然数1、2、3、4、5、6、7分．己知竞赛后每人3道题得分的积都是36，且每人3道题得分互不相同，那么参加竞赛的最多有几人？
<gadget id="calculator">3 + 3 + 6</gadget>
<output>12</output>

<result>12</result>