A stirrer of a machine for making and dispensing ice cream products rotates about an axis inside a cylindrical mixing and freezing unit and comprises a plurality of helical scrapers extending around the axis and operating on an inside wall of the mixing and freezing unit to be scraped, a shaft for rotating the stirrer about the axis and mounting the helical scrapers at a first end of them. Each helical scraper comprises a guide and at least one scraping member which can be slidably coupled to and uncoupled from the guide.