38616282 has 48 divisors (see below), whose sum is σ = 89572392. Its totient is φ = 11980800.

The previous prime is 38616269. The next prime is 38616289. The reversal of 38616282 is 28261683.

38616282 is a `hidden beast` number, since 38 + 616 + 2 + 8 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 24710841 + 13905441 = 4971^2 + 3729^2 .

It is a super-3 number, since 3×38616282³ (a number of 24 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (38616289) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29032 + ... + 30332.

Almost surely, 2^38616282 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38616282, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44786196).

38616282 is an abundant number, since it is smaller than the sum of its proper divisors (50956110).

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

38616282 is a wasteful number, since it uses less digits than its factorization.

38616282 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1423 (or 1420 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 38616282 is about 6214.2000289659. The cubic root of 38616282 is about 338.0052810118.

The spelling of 38616282 in words is "thirty-eight million, six hundred sixteen thousand, two hundred eighty-two".