I have a Stihl MS 362, on the sprocket it says 3/8 - 7. Will this bar and chain fit?

The chain sprocket wouldn't decide the bar and chain for the chainsaw. However looking at your chain saw the below bar's are compatible with your machine: https://www.lsengineers.co.uk/stihl-chain-loop-rsc-3-8-063-60-links.html - Stihl 16" Chain Loop RS 3/8 063 - 60 Links - 3621 003 0060 https://www.lsengineers.co.uk/16-3-8-1-6mm-063-16-chain-bar-kit-for-stihl-029-ms290-chainsaws-295177.html - 16" 3/8" 1.6mm (.063") Chain & Bar Kit for Stihl 029, MS290 Chainsaws https://www.lsengineers.co.uk/catalog/product/view/id/32813 - Stihl Rollomatic Guide Bar 16" - 3003 000 5213 https://www.lsengineers.co.uk/catalog/product/view/id/119518 - Rs Rapid Super Chain 1.6mm / 0.063 3/8" - Genuine Stihl Part No. 3621 000 0066 https://www.lsengineers.co.uk/catalog/product/view/id/32814 - Stihl Rollomatic Guide Bar 18" - 3003 000 5217 https://www.lsengineers.co.uk/stihl-chain-loop-rsc-3-8-063-72-links.html - Stihl 20" Chain Loop RS 3/8 063 - 72 Links - 3621 003 0072 https://www.lsengineers.co.uk/catalog/product/view/id/22555 - Stihl Rollomatic Guide Bar 20" - 3003 000 9421