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In the neighbouring Indian state of Assam, at least 17 people were killed during the wave of flooding that began this month, police officials said on Sunday.
Thousands of policemen, army personnel have been deployed to parts of the country to help search and rescue efforts.
About 105,000 people have been evacuated so far but police officials estimated that over four million were still stranded.
Regional officials said about 3.1 million people were displaced, 200,000 of whom are staying in government run makeshift shelters on raised embankments or on other highlands.
Bangladesh and India have experienced increasing extreme weather in recent years, causing large-scale damage.
Environmentalists warn climate change could lead to more disasters, especially in low-lying and densely populated Bangladesh.