Many figures at the very top of television - Ant and Dec, Michael McIntyre and Claudia Winkleman - are selective with their choices, notably hosting no more than three or four shows each per year.
But when a particular star is in demand, it can be tricky to strike the delicate balance between saying yes to work while not taking on too much.
"I understand the thing about overexposure, but if that happens, it happens," Ranganathan reflects. "I try not to overthink things that much, to be honest.
"You normally just have a gut feeling whether something's good or not or whether you'll be good for it or not.
"But who knows, maybe after this play goes out, the general public might say 'OK we've had enough', and I'll go and work in a café or something."
Ranganathan will join the previously announced Smith in Woman in Mind, which will run at London's Duke of York's Theatre from 9 December until 28 February, before playing additional dates in Sunderland and Glasgow in March.
Ayckbourn's psychological comedy follows a woman named Susan, who has an accident that leaves her with a head injury. A new fantasy life emerges in front of her, before the line between her real and imagined lives begins to blur.
"I play her doctor, who basically is the only link between the two worlds throughout the play," Ranganathan explains.
