38766 has 32 divisors (see below), whose sum is σ = 96768. Its totient is φ = 10080.

The previous prime is 38749. The next prime is 38767. The reversal of 38766 is 66783.

38766 = T₃₈ + T₃₉ + ... + T₆₅.

Its product of digits (6048) is a multiple of the sum of its prime divisors (96).

It is a plaindrome in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38767) by changing a digit.

38766 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 15 ways as a sum of consecutive naturals, for example, 511 + ... + 581.

It is an arithmetic number, because the mean of its divisors is an integer number (3024).

2³⁸⁷⁶⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38766, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48384).

38766 is an abundant number, since it is smaller than the sum of its proper divisors (58002).

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

38766 is a wasteful number, since it uses less digits than its factorization.

38766 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96.

The product of its digits is 6048, while the sum is 30.

The square root of 38766 is about 196.8908326967. The cubic root of 38766 is about 33.8441540988.

The spelling of 38766 in words is "thirty-eight thousand, seven hundred sixty-six".