When it comes to finding synonyms for the phrase "more accumulating," there are many options to choose from. Some alternatives you might consider using include words such as increasing, building up, amassing, accruing, stockpiling, gathering, collecting, and hoarding. Each of these words has slightly different connotations and shades of meaning, so it's important to choose the one that best fits the context of your sentence or paragraph. Whether you're discussing financial investments, physical possessions, or abstract concepts like knowledge or experience, there is sure to be a synonym that perfectly captures the idea of accumulating more of something over time.