The color is a chalky green with a slight brownish tinge to it. No artificial anything. It does actually leave my mouth feeling fresh and clean.
The main name, "dentifrice" means simply "toothpaste".
In North America, you can buy some of their pastes here. But they don't sell clove. And you'll have to pay $15 for a tube! In France? Probably just go to your local pharmacie (and pay a lot less).