There are many exchange programs financed and supported by the European Union and its member states. There is a lot to check out.
The country with the highest education level in Europe is Finland, followed by Norway and Luxembourg. Is your country on the the top-ten list?
Some of the most reputable universities are located in Europe. While studying for free in those universities mostly applies to students coming from EU and EEA countries, there are some other countries where no tuition fees are charged, regardless of your home country.