Catalyzes the phosphorylation of the 3'-hydroxyl group of dephosphocoenzyme A to form coenzyme A. 3'-dephospho-CoA + ATP = ADP + CoA + H(+) Optimum pH is 8.5. Cofactor biosynthesis; coenzyme A biosynthesis; CoA from (R)-pantothenate: step 5/5. Monomer (PubMed:11292795, PubMed:12538896). Forms homotrimers in the presence of sulfate. The trimeric form exists in solution in equilibrium with the monomeric form (PubMed:12538896). Belongs to the CoaE family.