Three- toed sloths move very slowly, using as little energy as possible. they sleep, eat, and even give birth upside down. a baby sloth may cling to its mother for as much as 36 weeks after being born. how much of that time is the sloth asleep?

Three- toed sloths move very slowly, using as little energy as possible. They sleep, eat, and even give birth upside down.
 
A three-toes sloth usually sleeps 101 hours per week.

Since the baby sloth clings to its mum for 36 weeks and we know that it sleeps 101 hours per week, therefore, we can simply calculate the duration of its sleep as follows:
duration of baby sloth's sleep in 36 weeks = 36 x 101 = 3636 hours