Revenues at the social media giant were 40 per cent higher than the $3.2 billion announced in the same period last year.
Ad revenue was the key driver behind the performance, growing 45 per cent year-on-year to £2.8 billion.
Net income for the three months to September was up 11 per cent to £580 million.
The growth in advertising revenue was made possible by the fact it continues to attract more users - its total of 1.55 billion monthly active users is 14 per cent higher than a year ago and the site now averages more than a billion users every day.
A total of 1.39 billion access the site founded by Mark Zuckerberg each month on their mobile devices.