You have a selection:

(3,12,20) sum=35 prod=720

(45,-2,-8) sum=35 prod=720

-------

def divisors(n):
    """ output a list of all factors of n including 1 and n  """
    ans = []
    for i in range(1,n+1):
        if n%i == 0:
            ans.append(i)
    ans = ans + [-i for i in ans]
    return ans

facs = divisors(720)
solutions = []
for f in facs:
    a = divisors(int(720/f))
    for d in a:
        e = int(720/(f*d))
        if f+d+e == 35:
            solution = sorted([f,d,e])
            if solution in solutions:
                continue
            solutions.append(solution)
            print( '({},{},{}) sum={} prod={}'.format(f,d,e,f+d+e, f*d*e))