Given the question was asked in 2011, it can be assumed that it is in reference to Thursday the 16th of June 2011. 36 days after that was Friday the 22nd of July 2011. If you are talking about another year, then whatever day of the week the 16th of June is on, 36 days later is one day of the week later, as 36 days is 5 weeks and 1 day.
On the day the question was asked, the 16th of November 2011, the answer was 4179 days. On the day it is being answered, the 23rd of January 2015, the answer is 5343 days.
16th July 1958 was a Wednesday.
Thursday
On June 20th of 1968, the day was Thursday :)
16th November 1985, was a Saturday.
June 16th, 2009 fell on a Tuesday.
June 16th, 1953 fell on a Tuesday.
June 16th, 2013 fell on a Sunday.
It was a Wednesday.
Thursday
Monday
June 16 1973 was a Saturday.
June 16, 1946, was a Sunday.
June 16th 1961 was on a Friday
June 16th 1961 was a Friday.
June 16th, 2007 fell on a Saturday.
June 16, 1955 fell on a Thursday.