ROME (Reuters) - Some 3,200 migrants were plucked from overcrowded boats off the coast of Libya on Tuesday and one dead body was recovered, Italy's coast guard said, as people smugglers operating in Libya took advantage of calm seas and warm weather.

A coast guard spokesman said the smugglers had sent at least 26 boats toward Italy, the latest in a tide of migrants fleeing war and poverty in Africa, the Middle East and Asia.

Three Italian navy ships took part in rescues, picking up more than 1,000 of those brought to safety. British and Spanish ships operating within the European Union's anti-people-smuggling mission also conducted rescues.

The Doctors Without Borders charity and migrant rescue groups MOAS and Sea Watch also participated. An Irish navy ship and a private tug boat completed the cast of rescuers.

A deal struck between the EU and Turkey and border closures have helped to stem the flow of migrants from the Middle East and Asia coming through Turkey and Greece. But Italy has received about the same number of migrants setting off from North Africa this year as during the same period of 2015.

As of Monday, 79,861 migrants had arrived in Italy by sea, compared with 83,119 during the same period of last year, while the number of migrants arriving in Greece from Turkey was down 95 percent.

Almost 3,000 boat migrants have died or gone missing in the Mediterranean this year, according to the International Organization for Migration.

(Reporting by Steve Scherer and Isla Binnie; Editing by Kevin Liffey and James Dalgleish)