38587136 has 72 divisors (see below), whose sum is σ = 89723424. Its totient is φ = 16220160.

The previous prime is 38587117. The next prime is 38587147. The reversal of 38587136 is 63178583.

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 38587093 and 38587102.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 109136 + ... + 109488.

Almost surely, 2^38587136 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 38587136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44861712).

38587136 is an abundant number, since it is smaller than the sum of its proper divisors (51136288).

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

38587136 is an equidigital number, since it uses as much as digits as its factorization.

38587136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437 (or 423 counting only the distinct ones).

The product of its digits is 120960, while the sum is 41.

The square root of 38587136 is about 6211.8544735047. The cubic root of 38587136 is about 337.9202220595.

The spelling of 38587136 in words is "thirty-eight million, five hundred eighty-seven thousand, one hundred thirty-six".