38350 has 24 divisors (see below), whose sum is σ = 78120. Its totient is φ = 13920.

The previous prime is 38333. The next prime is 38351. The reversal of 38350 is 5383.

It is a nialpdrome in base 14.

It is a congruent number.

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

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 621 + ... + 679.

It is an arithmetic number, because the mean of its divisors is an integer number (3255).

2³⁸³⁵⁰ is an apocalyptic number.

38350 is an abundant number, since it is smaller than the sum of its proper divisors (39770).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39060).

38350 is a wasteful number, since it uses less digits than its factorization.

38350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 38350 is about 195.8315602757. The cubic root of 38350 is about 33.7226573238.

The spelling of 38350 in words is "thirty-eight thousand, three hundred fifty".