Есть ли какая-то возможность искать номер телефона по имени на цифровике (3904,3903) сразу из станции и с DECT C4020

Настроить Corporate Directory.

The Corporate Directory application (available on the M3903 and M3904) allows you to search by entering the characters in the name of the person you are calling, beginning with the last name. Once you have located the name and number of the person, you may use the dial soft key to call the number. On the M3904, you may copy an entry from the Corporate Directory and paste it into your telephone’s Personal Directory for quick access.

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