Titanium is not supposed to tarnish, but of course is not impervious to scratches though.
"Titanium is immune to corrosive attacks by saltwater and marine atmosphere and exhibits exceptional resistance to a broad range of corrosive gases, acids and alkalis. Titanium is immune to microbiologically influenced corrosion and is physiologically inert and hypoallergenic."
http://www.cybermarketing.cn/titanium/tishow.php?k=abouttitaniumCARING FOR YOUR TITANIUM JEWELRY
Titanium is a light, strong, lustrous metal. Pure titanium is as strong as steel and can withstand a lifetime of punishment. These factors, along with its lightweight durability and hypo-allergenic nature have made titanium an increasingly popular choice for jewelry, either on its own or as the setting for diamonds and other precious gemstones. However, despite its durability, titanium jewelry needs to be properly cared for.
Titanium jewelry is easily cleaned with water and a non-abrasive soap or cleaner. Make sure to dry well with a soft cloth.
Store your titanium jewelry in a safe place wrapped carefully and individually to prevent scratching.
If your titanium is set with diamonds or other precious stones, be especially careful, as these materials can be more susceptible to damage. Some fine jewelry pieces combine titanium with karat gold jewelry. Care for these pieces as you would your gold jewelry.
http://www.shopdi.com/buyers_guide.cfm?by_cat=true&by_mat=true&page=care