38791566 has 48 divisors (see below), whose sum is σ = 92596608. Its totient is φ = 11638800.

The previous prime is 38791553. The next prime is 38791567. The reversal of 38791566 is 66519783.

It is a happy number.

38791566 is a `hidden beast` number, since 3 + 87 + 9 + 1 + 566 = 666.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38791567) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20271 + ... + 22101.

It is an arithmetic number, because the mean of its divisors is an integer number (1929096).

Almost surely, 2^38791566 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38791566, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46298304).

38791566 is an abundant number, since it is smaller than the sum of its proper divisors (53805042).

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

38791566 is a wasteful number, since it uses less digits than its factorization.

38791566 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1957 (or 1954 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

The square root of 38791566 is about 6228.2875656154. The cubic root of 38791566 is about 338.5159248559.

It can be divided in two parts, 3879 and 1566, that added together give a palindrome (5445).

The spelling of 38791566 in words is "thirty-eight million, seven hundred ninety-one thousand, five hundred sixty-six".