38355 has 8 divisors (see below), whose sum is σ = 61392. Its totient is φ = 20448.

The previous prime is 38351. The next prime is 38371. The reversal of 38355 is 55383.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 38355 - 2² = 38351 is a prime.

It is a super-2 number, since 2×38355² = 2942212050, which contains 22 as substring.

38355 is a lucky number.

It is a nialpdrome in base 14.

It is a zygodrome in base 14.

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 7 ways as a sum of consecutive naturals, for example, 1264 + ... + 1293.

It is an arithmetic number, because the mean of its divisors is an integer number (7674).

2³⁸³⁵⁵ is an apocalyptic number.

38355 is a deficient number, since it is larger than the sum of its proper divisors (23037).

38355 is a wasteful number, since it uses less digits than its factorization.

38355 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2565.

The product of its digits is 1800, while the sum is 24.

The square root of 38355 is about 195.8443259326. The cubic root of 38355 is about 33.7241228254.

It can be divided in two parts, 38 and 355, that added together give a palindrome (393).

The spelling of 38355 in words is "thirty-eight thousand, three hundred fifty-five".