How do I print wirelessly without a router using the HP DeskJet 3630?

You can use Wi-Fi Direct to print wirelessly without a router from your computer, smartphone, or other wireless-enabled device. Press the Wi-Fi Direct button to turn on Wi-Fi Direct, then press the Wi-Fi Direct button and Information button together to print a Wi-Fi Direct guide and follow its instructions to connect. Note that a Wi-Fi Direct connection does not provide Internet access. (Page 5)

From the official HP Deskjet 3630 All-in-One Printer manual, page 5

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