In P2P network all nodes are client and servers, therefore no need of dedicated servers. Any computer on the network functions as a network server.
All of the blockchain information is shared by peers unlike server-client architecture where the main Server shares all of the resources. The more peers the better!
More reliable as central dependancy is not an option. The downtime of one of the peers won't affect the functioning of other peers or cause the network to become stagnant.