19 x 19 x 19 = 6859
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19
19 + x^3.
3610 = 19 * 19 * 2 * 5. Each factor must appear 3 times to be a perfect cube, so multiply by (19 * 2 * 2 * 5 * 5) = 1900. And the perfect cube is 6859000
You seem to be asking for the cube root of 6859. That would be 19.
If by cube you mean perfect cube (a cube of an integer), then no, and the nearest perfect cube is 81.