Apple's new music streaming service has attracted more than eleven million members to its free trial since its launch just over a month ago, the company has said.

Apple Music rolled out a three-month free trial period on 30 June. 

Nearly two million people opted for the free trial family plan, which will cost €14.99 a month for up to six family members, the company said.

Apple's iTunes Store helped revitalise the music industry a decade ago, but digital downloads have slumped in recent years amid a shift toward streaming. 

Unlike popular streaming services from rivals like Spotify, Apple's offering does not include a free on-demand tier, a decision praised by some in the music industry.

In June Spotify said it had 20 million paying subscribers on its platform, with a total of 75 million active users when those using the free service were included.

Meanwhile Apple said its App Store saw the largest-ever number of customers in July, yielding $1.7 billion in transactions.

Apple set a high water mark for App Store customers in China in July.

It said it has now paid developers almost $33 billion.

Although App Store transactions are on the rise, Apple still draws the majority of its revenue from sales of hardware such as its blockbuster iPhone.

In the most recent quarter, Apple's revenue rose 32.5% to $49.61 billion from a year earlier, beating Wall Street expectations of $49.43 billion.

The company's stock has dipped recently amid concerns about how its growing business in China will fare amid economic downturn in the country.