@ViClac82 - can you tell us what lenses you have at the moment ?
your Nikon D3400 is a crop sensor camera , meaning that you don`t get as wide angle image as you would with a Full Frame camera depending on the lens you choose .. If for example you use lets say a 16-35mm lens on a Full Frame camera ,then to get the same sort of view on your Crop Sensor camera (DX) you would need an equivalent of 11-16mm .. This video will help you get a better understanding >>>
DX Lenses for Nikon <<<
A relatively cheap lens that can produce decent enough images in combination with your camera is the Tokina 11-16mm ,, NO its not the most fantastic lens in the world but its all down to whats acceptable to each individual person its certainly adequate enough .. they are for sale on eBay I bought one myself last year for £170 in mint condition to use on my D500..
A Focal length that is also starting to become popular among even the professional Landscape shooters is the 100-400mm which enables you to zoom in and compose Landscape images off in the distance , an equivalent to that would be the DX 70-300mm which would give you a range of 105-450mm giving you a good Zoom range if thats what you`re after ....
So in short , you wouldn`t be able to buy just 1 single Lens to do Both wide angle shots and Distant shots ... You must also check to see which Lenses are compatable with your camera , AFAIK the Nikon D3400 was released in 2015 or 2016 so there should be plenty of available Lenses ...
Just my thoughts , I hope some of this is helpful
Coho - Blue