To connect the **HP DeskJet 3788** printer to Wi-Fi, follow these steps:

1. **Put the printer into Wireless Setup Mode**: Press and hold the wireless button on the printer for about 3 seconds until the wireless light starts blinking, indicating it is in pairing mode[2].

2. **Connect via the HP Smart App**:
– Download and open the **HP Smart app** on your smartphone, tablet, or computer.
– If you don’t have an HP account, create one and log in, as it is required for wireless printing[1].
– In your device’s Wi-Fi settings, connect to the printer’s temporary network, which will be named something like “HP-Setup-XXXX” (where XXXX depends on your printer model)[1].
– Return to the HP Smart app and use the “Add Printer” or “+” button to select your printer.
– Follow the in-app instructions to select your home Wi-Fi network and enter the password so the printer can connect to your Wi-Fi[1][2].

3. **Confirm Connection**:
– Once connected, the wireless light on the printer should be steady, not blinking[2].
– Open HP Smart and you should see your printer listed as connected to the Wi-Fi network[2].

If you experience connection issues, consider:

– Ensuring your Wi-Fi network is 2.4 GHz, as the DeskJet 3788 often does not support 5 GHz Wi-Fi[3].
– Using the “Convert USB to Wireless” option from the HP DeskJet 3700 series software on your computer if initial setup via the app fails. Connect the printer via USB first, then follow the software prompts to enable wireless[3].
– Restarting your printer, router, and device, and trying the setup again[2].

This approach is confirmed by multiple sources, including HP support community threads and detailed video guides for the DeskJet 3700 series setup and troubleshooting[1][2][3].