If I work 32 hours per week, is it consider full time or part time job?

Depends on your country and company. In the US, the definition of full-time vs. part time is blurring. Under the Affordable Care Act, employers who offer health insurance have to offer it to employees who average 30 or more hours a week. They also have to provide retirement benefits to people who work 1000 or more hours a year (if they offer a retirement plan). 1000 a year is about 19 hours a week. Neither benefit requirement makes the employees "full-time". Often, companies have a minimum number of hours they consider to be full-time under which the employee is eligible for all employee benefits (vacation, sick time, life insurance, disability, etc.) and then other categories of employees working fewer hours than the designated "full-time" who are eligible for a smaller number of benefits (such as retirement and/or health, which might also include pro-rated sick and vacation, etc.)

Where I work (in the US), the categories are full-time (35 or 40 hours a week, depending on the job, with full benefits), ACA-eligible part time (more than 30 but less than 35 hours a week, with health, pro-rated sick, vacation and holiday time, and retirement plan), retirement-eligible part-time (1000 hours a year, eligible for retirement plan and pro-rated sick, vacation and holiday pay) and part-time (less than 1000 hours a year, and not eligible for any benefits).

The lowest number of hours I've seen for full full-time is 35 a week.

many companies will provide benefits for working 30+ hrs per week - every company is different

32 hrs is now considered full time

Honestly, that depends on the employer. Each company has their own parameters.

depends what country u in.
if in USA depends on company policy
here 33 plus is full time

full time or part time