38550 has 24 divisors (see below), whose sum is σ = 95976. Its totient is φ = 10240.

The previous prime is 38543. The next prime is 38557. The reversal of 38550 is 5583.

38550 is nontrivially palindromic in base 4.

38550 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (38543) and next prime (38557).

It is a super-2 number, since 2×38550² = 2972205000, which contains 22 as substring.

38550 is an undulating number in base 16.

It is a Curzon number.

It is a nialpdrome in base 15.

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 38550.

It is not an unprimeable number, because it can be changed into a prime (38557) by changing a digit.

38550 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 11 ways as a sum of consecutive naturals, for example, 22 + ... + 278.

It is an arithmetic number, because the mean of its divisors is an integer number (3999).

2³⁸⁵⁵⁰ is an apocalyptic number.

38550 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 38550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47988).

38550 is an abundant number, since it is smaller than the sum of its proper divisors (57426).

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

38550 is a wasteful number, since it uses less digits than its factorization.

38550 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 38550 is about 196.3415391607. The cubic root of 38550 is about 33.7811783216.

Subtracting from 38550 its product of nonzero digits (600), we obtain a triangular number (37950 = T₂₇₅).

It can be divided in two parts, 385 and 50, that added together give a triangular number (435 = T₂₉).

The spelling of 38550 in words is "thirty-eight thousand, five hundred fifty".