38736 has 30 divisors (see below), whose sum is σ = 108810. Its totient is φ = 12864.

The previous prime is 38729. The next prime is 38737. The reversal of 38736 is 63783.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 24336 + 14400 = 156^2 + 120^2 .

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38737) 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 5 ways as a sum of consecutive naturals, for example, 10 + ... + 278.

It is an arithmetic number, because the mean of its divisors is an integer number (3627).

2³⁸⁷³⁶ is an apocalyptic number.

38736 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 38736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54405).

38736 is an abundant number, since it is smaller than the sum of its proper divisors (70074).

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

38736 is a wasteful number, since it uses less digits than its factorization.

38736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 274 counting only the distinct ones).

The product of its digits is 3024, while the sum is 27.

The square root of 38736 is about 196.8146336023. The cubic root of 38736 is about 33.8354214754.

The spelling of 38736 in words is "thirty-eight thousand, seven hundred thirty-six".