The Medallion of Brogends is a reward of achievement after defeating The Farm in battle. The first, current, and only people who have won the medal are Finn and Jake. The word "brogend" is a portmanteau of the words "bro" and "legend."
Its appearance is a scratched, gold medal with a red lace and engraved with the word brogends and the number one. Interestingly, in Adventure Time Bloons TD, there is a blue version (Awarded for Impoppable difficultly setting).