Hi GOG! http://www.swissinfo.ch/ger/index.html?siteSect=105&sid=1034089&ts=20020220190215 (in German, sorry, but I think you understand some) says: 3'300 km national and 3'000 km local cycling routes.
To calculate yourself, visit the website of the official, national cycling network. There, simply add the lenght(s) of each route: http://www.veloland.ch/en/routen.cfm
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