38686032 has 160 divisors (see below), whose sum is σ = 138562560. Its totient is φ = 10039680.

The previous prime is 38686027. The next prime is 38686061. The reversal of 38686032 is 23068683.

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

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, 32683 + ... + 33845.

It is an arithmetic number, because the mean of its divisors is an integer number (866016).

Almost surely, 2^38686032 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 38686032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69281280).

38686032 is an abundant number, since it is smaller than the sum of its proper divisors (99876528).

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

38686032 is a wasteful number, since it uses less digits than its factorization.

38686032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1198 (or 1186 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 38686032 is about 6219.8096433894. The cubic root of 38686032 is about 338.2086640310.

The spelling of 38686032 in words is "thirty-eight million, six hundred eighty-six thousand, thirty-two".