It's an interesting one for sure.

I don't think it's a 3336, those always seem to have the long thin markers shown in the catalogue page below, without the arabic numerals at 12.

It does have a lot of the features of the 404, athough the lugs do look more like those of a 3336. 404s often have the arabic numeral at 6 as well, but if you look at the 404 top left in the side bar, that appears to have markers identical to your watch even if it has a later tachy scale (in fact the same scale as used on the earliest Carrera Tachy models).

A year earlier, the catalogue has its 404 without any scale but does note that a Tachy version is available:

The crown on your watch also resembles a 404's with its slightly "mushroom" shape, as opposed to the 3336 and 2444, which used crowns pretty much exactly as would later appear on the Carrera. I tend to think of 2444s as the pre-Carrera, but really all three watches are part of a family that later became the Carrera, so each of them have some claim on that title. The handset doesn't help us, as it was shared between all three watches but at least it's correct and the second chrono hand in white is also correct for a black-dialled watch.

So my best guess would be a 404 T from 1960 or so, but open to debate on these as I don't have them as clear in my mind yet as I do the Carreras.