38586132 has 60 divisors (see below), whose sum is σ = 108642996. Its totient is φ = 11871360.

The previous prime is 38586091. The next prime is 38586133. The reversal of 38586132 is 23168583.

38586132 is a `hidden beast` number, since 38 + 5 + 8 + 613 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9036036 + 29550096 = 3006^2 + 5436^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38586133) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 369 + ... + 8792.

Almost surely, 2^38586132 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 38586132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54321498).

38586132 is an abundant number, since it is smaller than the sum of its proper divisors (70056864).

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

38586132 is a wasteful number, since it uses less digits than its factorization.

38586132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9190 (or 9179 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 38586132 is about 6211.7736597529. The cubic root of 38586132 is about 337.9172912481.

The spelling of 38586132 in words is "thirty-eight million, five hundred eighty-six thousand, one hundred thirty-two".