The given statement describes a tree that has branches that root themselves and give rise to more trunks and branches. This characteristic is unique to the Banyan tree. The Banyan tree, scientifically known as Ficus benghalensis, is a type of fig tree that is native to India and is considered a sacred tree in Hindu mythology.

The Banyan tree is known for its ability to spread and grow through the process of "aerial prop roots." These roots emerge from the branches and grow downwards, eventually reaching the ground and establishing themselves as independent trunks. This process can create a network of interconnected trunks and branches, giving the impression that the tree is multiplying and spreading over a large area.

The Banyan tree`s longevity and the way it propagates through its roots have contributed to its association with immortality and its significance in Indian myths and legends. In Hinduism, the Banyan tree is often associated with Lord Vishnu and is considered a symbol of longevity, fertility, and divine protection.

Therefore, the correct answer to the question is option 1: Banyan tree.