Hartals

Political parties in a country show their muscles by calling for regular strikes, which cause considerable economic damage. Each party is characterized by a positive integer $h$ called a strikes parameter that denotes the average number of days between 2 successive strikes called by the given party.

Consider three political parties. Assume $h_1 = 3, h_2 = 4$ and $h_3 = 8$ where $h_i$ is the strikes parameter for party $i$ . We can simulate the behavior of these three parties for $N$ number of days. We always start the simulation on a Sunday. There are no strikes parameter on Fridays or Saturdays.

There will be exactly 5 strikes (on days 3, 4, 8, 9 and 12) over $N = 14$ days. How many strikes will there be in $N = 3650$ days?