This connector is a 40-pin 0.8mm pitch edge card socket for mounting the CT3680 to a PCB. This connector is a vertical mount orientation, e.g. the CT3680 is positioned perpendicular to the PCB. See the datasheet for mechanical details.

Samtec P/N HSEC8-120-01-S-DV-A.

A modified footprint is available at JLCPCB which elongates the pads to make it easier to manually solder this device.

See the CT3680 Application Guide for tips on manual soldering of this connector.