Henkel AG agreed to buy laundry-detergents maker Sun Products Corp. for $3.6 billion as chief executive officer Hans Van Bylen marked his first weeks at the helm with the German company’s biggest U.S. acquisition.

The maker of Snuggle fabric softener generated annual revenue last year of about $1.6 billion, under the ownership of Vestar Capital Partners, Dusseldorf-based Henkel said in a statement Friday.

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