People who accumulate things with no value are often called pack rats.
It is a verb.
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Accumulate means to acquire or gather an increasing quantity of. A sample sentence is: "She wants to accumulate money to build her dream house".
Example sentence - We didn't know how much snow would accumulate during the storm.
I accumulated a lot of money from the bingo.
Synonyms for the word accumulate include accrue, aquire, cache, compile, gather, heap, hoard, incorporate, mass, pile, procure, stockpile, store and unite.
accrue, cache, procure, amalgamate, compile, bundle.