38508820 has 96 divisors (see below), whose sum is σ = 100638720. Its totient is φ = 12078720.

The previous prime is 38508809. The next prime is 38508863. The reversal of 38508820 is 2880583.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82227 + ... + 82693.

It is an arithmetic number, because the mean of its divisors is an integer number (1048320).

Almost surely, 2^38508820 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 38508820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50319360).

38508820 is an abundant number, since it is smaller than the sum of its proper divisors (62129900).

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

38508820 is a wasteful number, since it uses less digits than its factorization.

38508820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 34.

The square root of 38508820 is about 6205.5475181486. The cubic root of 38508820 is about 337.6914542444.

The spelling of 38508820 in words is "thirty-eight million, five hundred eight thousand, eight hundred twenty".