3752 has 16 divisors (see below), whose sum is σ = 8160. Its totient is φ = 1584.

The previous prime is 3739. The next prime is 3761. The reversal of 3752 is 2573.

3752 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nialpdrome in base 4 and base 16.

It is a self number, because there is not a number *n* which added to its sum of digits gives 3752.

It is an inconsummate number, since it does not exist a number *n* which divided by its sum of digits gives 3752.

It is an unprimeable number.

3752 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 23 + ... + 89.

It is an arithmetic number, because the mean of its divisors is an integer number (510).

2^{3752} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4080).

3752 is an abundant number, since it is smaller than the sum of its proper divisors (4408).

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

3752 is a wasteful number, since it uses less digits than its factorization.

3752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 76 counting only the distinct ones).

The product of its digits is 210, while the sum is 17.

The square root of 3752 is about 61.2535713245. The cubic root of 3752 is about 15.5389240233.

The spelling of 3752 in words is "three thousand, seven hundred fifty-two".

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