Work with daily allowance

I have my first job after training, good salary and good conditions. I've soon saved up an emergency fund of €6,500, which is supposed to increase by €100 a year at the savings bank, which is in the current account for an unbeatable... 0.4% (!). Which is really sobering. On the one hand, I would like to have my nest egg quickly available for emergencies, but I would also like to let it work for me as money lying around. Now TR, Scalable and others have higher interest rates on the daily money