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Here we go with the age old story. What you see on your screen to what is going to print may end being something unexpected. This is because you have two hardware devices here that present data to you in different ways. Looking at your image on screen, nothing matters except pixels period. The dpi or ppi number is simply that, just a number as far as your screen goes. Now, on the other hand, a typical desktop printer is going to want 250 - 300 dpi. So, all your talk of the dpi doesn't mean anything. The print size for your 3456 x 5184 image will provide you with a 11.52" x 17.28 image at 300 dpi. So, if you are using an A1 size, which is 23.4 x 33.1 that's a 100% larger than what you have, so it can't be optimal from the printer.