I have read that some touch-screen laptops support backlit keyboards. However, I am not completely positive this model can do so. I have not found any info on the Internet.
On the Dell parts page for the Inspiron 3567, there is no reference to "backlit" in the keyboard descriptions =
KPP2C Keyboard, English-US, 101 Keys
JYP58 Keyboard, English-International, 101 Keys
JD8C7 Keyboard, French-English Bilingual, 101 Keys