38556 has 60 divisors (see below), whose sum is σ = 121968. Its totient is φ = 10368.

The previous prime is 38543. The next prime is 38557. The reversal of 38556 is 65583.

38556 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

Its product of digits (3600) is a multiple of the sum of its prime factors (40).

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 38556.

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

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2260 + ... + 2276.

2³⁸⁵⁵⁶ is an apocalyptic number.

38556 is a gapful number since it is divisible by the number (36) 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 38556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60984).

38556 is an abundant number, since it is smaller than the sum of its proper divisors (83412).

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

38556 is a wasteful number, since it uses less digits than its factorization.

38556 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40 (or 29 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

The square root of 38556 is about 196.3568180634. The cubic root of 38556 is about 33.7829308210.

Adding to 38556 its sum of digits (27), we get a palindrome (38583).

It can be divided in two parts, 385 and 56, that added together give a square (441 = 21²).

The spelling of 38556 in words is "thirty-eight thousand, five hundred fifty-six".