38085632 has 44 divisors (see below), whose sum is σ = 82019196. Its totient is φ = 17571840.

The previous prime is 38085611. The next prime is 38085637. The reversal of 38085632 is 23658083.

It can be written as a sum of positive squares in 2 ways, for example, as 12845056 + 25240576 = 3584^2 + 5024^2 .

It is a junction number, because it is equal to n+sod(n) for n = 38085592 and 38085601.

It is not an unprimeable number, because it can be changed into a prime (38085637) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 11882 + ... + 14742.

Almost surely, 2^38085632 is an apocalyptic number.

38085632 is a gapful number since it is divisible by the number (32) 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 38085632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41009598).

38085632 is an abundant number, since it is smaller than the sum of its proper divisors (43933564).

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

38085632 is a wasteful number, since it uses less digits than its factorization.

38085632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2894 (or 2876 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 35.

The square root of 38085632 is about 6171.3557667663. The cubic root of 38085632 is about 336.4498886584.

The spelling of 38085632 in words is "thirty-eight million, eighty-five thousand, six hundred thirty-two".