REST API Call Limit Per Day

Summary

Limit to call different REST API for different end point

Content

Hi,

I am curious to know the limit of REST API call per day to service cloud. How many times we can call REST API endpoint for different objects i.e. Incident, Contact, Organization etc. We have requirement where volume of incident creation is 3 Millions per year. We have integrated OSvC with third party system. Every time incident is create in OSvC we need to call REST API end point to sync data with third party software but volume of call is more then we expected initially.  

I believe there is per day REST API call limit.