38352 has 40 divisors (see below), whose sum is σ = 107136. Its totient is φ = 11776.

The previous prime is 38351. The next prime is 38371. The reversal of 38352 is 25383.

It is a nialpdrome in base 14.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 38352.

It is not an unprimeable number, because it can be changed into a prime (38351) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 793 + ... + 839.

2³⁸³⁵² 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 38352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53568).

38352 is an abundant number, since it is smaller than the sum of its proper divisors (68784).

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

38352 is a wasteful number, since it uses less digits than its factorization.

38352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 69 counting only the distinct ones).

The product of its digits is 720, while the sum is 21.

The square root of 38352 is about 195.8366666383. The cubic root of 38352 is about 33.7232435397.

It can be divided in two parts, 383 and 52, that added together give a triangular number (435 = T₂₉).

The spelling of 38352 in words is "thirty-eight thousand, three hundred fifty-two".