Key Contact Information Commonly Used Phone Numbers UMMC Hospital main phone number: (585) 343-6030Administration Fax: (585) 344-7434Patient information: (585) 343-6030. Billing & insurance: (585) 201-5065 Financial assistance: (585) 922-1900Contact a patient: Use our free email contact form Medical Records: Follow these steps to obtain a copy of your medical records.