What is cna phone number? CNA Customer Service Phone Number. The Customer Service Phone Number of CNA is: +1-312-822-5000. CNA is completely known as Continental National American Group is a premium property and casualty insurance provider firm based in the United States. The company offers accidental and health insurance and life insurance services.What is a cna surety? CNA Surety provides a full range of surety and fidelity bonds in all 50 states, Canada and Puerto Rico. Through a combined network of approximately 40,000 appointed agencies, CNA Surety has the capacity, experience and dedication to serve a full range of bonding needs, from the smallest commercial bonds to multi-million dollar contract bonds.What is a cna number? The CNA number is a phone number for telephone company personnel to call and get the name and address for a phone number. If a telephone lineman finds a phone line he does not recognize, he can use the ANAC Number to find its phone number and then call the CNA operator to see who owns it and where they live.