38752 has 24 divisors (see below), whose sum is σ = 87696. Its totient is φ = 16512.

The previous prime is 38749. The next prime is 38767. The reversal of 38752 is 25783.

It is an Ulam number.

It is a nialpdrome in base 16.

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 3 ways as a sum of consecutive naturals, for example, 138 + ... + 310.

It is an arithmetic number, because the mean of its divisors is an integer number (3654).

2³⁸⁷⁵² is an apocalyptic number.

38752 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43848).

38752 is an abundant number, since it is smaller than the sum of its proper divisors (48944).

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

38752 is a wasteful number, since it uses less digits than its factorization.

38752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 182 counting only the distinct ones).

The product of its digits is 1680, while the sum is 25.

The square root of 38752 is about 196.8552767898. The cubic root of 38752 is about 33.8400794354.

It can be divided in two parts, 3875 and 2, that multiplied together give a triangular number (7750 = T₁₂₄).

The spelling of 38752 in words is "thirty-eight thousand, seven hundred fifty-two".