I don't understand what 'a day's notice' means in this context: "I can also work overtime with a day’s notice. "
Now I understand it. I thought it had something to do with money.
Emsr2d2 has answered your question. I'd like to add that although money is not mentioned in your original sentence, there could be some financial considerations involved. In the US, the Fair Labor Standards Act provides that overtime in excess of 40 hours a week be paid at a rate of one and a half times the regular pay rate