If your engine is in good order, why are you changing oil every 3K miles? Even the folks I know that drive mostly in the big cities and spend a lot of time at slow speed in traffic do 10K km OCI's.
If you are not spending time in traffic or off roading, then if you use a top quality oil filter and a good major brand synthetic oil, 95% of cars or trucks are good for a 10K mile OCI, BUT it is worth checking with a few used oil analysis that all is well. In most cases even a basic conventional oil is good for a 10K OCI.
The 3K mile OCI is one very wasteful American habit and makes no sense at all in either economic or engine life terms. The oil filter for example is at its least efficient when new and the additives from the residual old oil react with the new, resulting in the new detergents damaging the protective anti wear coatings for a while. In most 10K mile OCI's UOA results have shown that more wear occurs during the first few thousand miles than the last few.
The problem with the 3K OCI myth is that all the marketing folks for the quick lube and engine oil companies keep shouting out the 3K song and that combines with a habit some folks have a thinking an oil change sticker stuck next to the engine that repeats the 3K lie is some kind of law that must be obeyed. The latest German Audi has an OCI of 50K km and it just uses Castrol Edge or Liqui Moly Synthoil, nothing from NASA lube corp.