3750 has 20 divisors (see below), whose sum is σ = 9372. Its totient is φ = 1000.

The previous prime is 3739. The next prime is 3761. The reversal of 3750 is 573.

It is an interprime number because it is at equal distance from previous prime (3739) and next prime (3761).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a plaindrome in base 11.

It is a nialpdrome in base 5 and base 16.

It is a zygodrome in base 5.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 748 + ... + 752.

2³⁷⁵⁰ is an apocalyptic number.

3750 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4686).

3750 is an abundant number, since it is smaller than the sum of its proper divisors (5622).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3750 is an equidigital number, since it uses as much as digits as its factorization.

3750 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 105, while the sum is 15.

The square root of 3750 is about 61.2372435696. The cubic root of 3750 is about 15.5361625298.

The spelling of 3750 in words is "three thousand, seven hundred fifty".