I am not a MOSFET expert by any stretch.
There are plenty of others on this forum who are.
Firstly, in order to help you out we need to know the following:
VBAT is the maximum battery voltage
VCC is the minimum input voltage
ICH is the charge current (maximum)
You can probably safely ignore:
dT is the temperature difference between actual ambient temperature and room temperature(25 C)
These are the two semi-flexable values you will be wanting to match to a MOSFET spec:
Pd is the power dissipation of the power MOSFET
Rds(on) is the power MOSFET’s on resistance at room temperature
Then, using a search on a site like Mouser:
P-Channel
Vgs(th) of less than 6V (Datasheet says "The peak-to-peak gate drive voltage is set internally, this voltage is typically 6.5V")
As low an Rds on as you can afford.
Something that will handle the charge current times say 1.25 for headroom.
(Always check the SOA in the datasheet before purchasing as you may need to increase this headroom factor)
A quich search for AO3407A at Mouser brings up a cross reference match as IRLML9301TRPBF
http://nz.mouser.com/ProductDetail/International-Rectifier/IRLML9301TRPBF/?qs=%2fha2pyFaduhk8M%252bingpDzSghYHzpUQ%252b47Aw2zvVseSU%3d