Three phase to Single phase current calculation
You have 16A MCCB.  Safety regulations require that you can only use 80% of that, which is 12.8A.  So no matter the single-phase math, you have to do something different.

If I put your single-phase numbers into rapidtables I get 21A.  7A is the three-phase calculation.  Hence my comment: 

The only real answer is replace the single-phase motor with a three-phase motor.

Apparent Power
$$pf = \frac {P} {S} $$
$$S = \frac {P} {pf} = \frac {3,700W} {0.8} = 4,625VA $$

Means a single-phase current of:
$$I_{Phase} = \frac {S} {V_{Phase}} = \frac {4,625VA} {220V} = 21.0A $$

So maximum CB is 16A, safety is 12.8A.  You cannot supply power to your elevator using a single-phase motor.

Three-phase power:

$$ P_T = \sqrt {3}\ V_{Line}\ I_{Line}\ cos\ \theta$$
$$ I_{Line} = \frac {P_T} {\sqrt {3}\ V_{Line}\  cos\ \theta} = \frac {3,700W} {\sqrt {3}\ \times \ 380V\ \times\ 0.8} = 7.03A$$

Under 12.8A.  

At this point, the best advice we could give you is consult an electrician.  If you have three-phase power available, it is always best to use it.