38806920 has 144 divisors (see below), whose sum is σ = 134337060. Its totient is φ = 9713664.

The previous prime is 38806907. The next prime is 38806931. The reversal of 38806920 is 2960883.

It can be written as a sum of positive squares in 6 ways, for example, as 28579716 + 10227204 = 5346^2 + 3198^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 103854 + ... + 104226.

Almost surely, 2^38806920 is an apocalyptic number.

38806920 is a gapful number since it is divisible by the number (30) 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 38806920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67168530).

38806920 is an abundant number, since it is smaller than the sum of its proper divisors (95530140).

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

38806920 is a wasteful number, since it uses less digits than its factorization.

38806920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 38806920 is about 6229.5200457178. The cubic root of 38806920 is about 338.5605813663.

The spelling of 38806920 in words is "thirty-eight million, eight hundred six thousand, nine hundred twenty".