serial numbers cannot be changed- if they could then blacklisting could be bypassed
i can't think of any use for knowing your serial number expect maybe to configure a de-drm tool. that usage would not get back to amazon.
PS you can work back from to the generation number form the OS installed version + a Wikipedia list of what generations have what OS versions. or an email to amazon CS giving the serial number will probably get you an answer - or that info may even show up in " my devices and content" once you have registered the kindle to your account
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