BERLIN — Migrants and their homes in Germany faced more than 3,500 attacks in 2016, a number that is ‘‘alarmingly high and cause for concern,’’ a German official said, adding that the crimes are being aggressively prosecuted and the numbers of such attacks are now falling.

Most of the attacks were crimes like vandalism to homes — including threats and far-right graffiti — but the report included more serious attacks like arson and attempted murder, too. It was compiled by the Interior­ Ministry. ‘‘There was a very wide spectrum of crimes . . .­ every one is to be condemned,’’ spokesman Johannes Dimroth said.

The attacks led to 560 people being injured, including 43 children; 2,343 suspects were investigated. Figures for previous years weren’t compiled but Dimroth said that after 2016 the ‘‘trend is downward.’’ Germany took in 890,000 asylum seekers in 2015 and saw a rise in anti-immigrant sentiment.

‘‘We need to see better risk assessments, more protection at certain locations, thorough investigations, and prosecutions of these appalling racist attacks,’’ said Gauri van Gulik, of Amnesty International.

Associated Press