39838

Me and my friend Ross came up with two solutions to this question and thees are ours

largest odd number:8743

largest even number:9874

largest multiple of three:9663

smallest multiple of five:1225

closest number to five thousand:5001

Now my friend Ross

largest odd number:9867

largest even number:9742

largest multiple of three:8643

smallest multiple of five:1235

closest number to five thousand:5001

Explanation:
First you need to find each number, make sure each number opes-es the criteria the go back and keep on editing it again and again until you get the best numbers you can possibly get, make sure to keep each number then compere the results which ever opp-es the criteria more chose it the submit the results.