Pros
Schein is the market leader and well-respected in the industry. Owns many categories and commands respect from the biggest players. Job prestige is high and culture is extremely traditional. Financially, the company is like a rock and consistently grows stock and market share from year to year. Many "lifers" who have been in the industry forever and love Schein.
Cons
A company run by accountants. Financials always look great, but profit squeezing is paramount and most departments are understaffed, positions are rarely backfilled, responsibilities/expectations are huge and they are miserly with raises. Salaries are barely competitive for mid-management positions and internal systems are outdated; budgets and tools to innovate (or even compete professionally) are next to nil. Upward mobility is limited; I did not personally witness many major title promotions from within--although plenty of people fulfilled their manager/subordinate's responsibilities for months or years after the manager/subordinate left.