38456 has 32 divisors (see below), whose sum is σ = 86400. Its totient is φ = 15840.

The previous prime is 38453. The next prime is 38459. The reversal of 38456 is 65483.

It is an interprime number because it is at equal distance from previous prime (38453) and next prime (38459).

It is a d-powerful number, because it can be written as 3⁵ + 8⁵ + 4⁵ + 5⁵ + 6⁴ .

It is a zygodrome in base 7.

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 38456.

It is not an unprimeable number, because it can be changed into a prime (38453) 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, 1661 + ... + 1683.

It is an arithmetic number, because the mean of its divisors is an integer number (2700).

2³⁸⁴⁵⁶ 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 38456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43200).

38456 is an abundant number, since it is smaller than the sum of its proper divisors (47944).

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

38456 is a wasteful number, since it uses less digits than its factorization.

38456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59 (or 55 counting only the distinct ones).

The product of its digits is 2880, while the sum is 26.

The square root of 38456 is about 196.1020142681. The cubic root of 38456 is about 33.7536987259.

It can be divided in two parts, 38 and 456, that added together give a palindrome (494).

The spelling of 38456 in words is "thirty-eight thousand, four hundred fifty-six".