An integer is a whole number that can be positive, negative, or zero, and does not include fractions or decimals.
From the options provided:
- 3123 - integer
- 1 half (1/2) - not an integer
- 141 fourth (141/4) - not an integer
- 66 - integer
- -38 - integer
- negative 3 eighths (-3/8) - not an integer
The integers from the options are 3123, 66, and -38.