38281536 has 84 divisors (see below), whose sum is σ = 112472724. Its totient is φ = 12441600.

The previous prime is 38281513. The next prime is 38281541. The reversal of 38281536 is 63518283.

It can be written as a sum of positive squares in 2 ways, for example, as 13838400 + 24443136 = 3720^2 + 4944^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 38281536.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22806 + ... + 24426.

It is an arithmetic number, because the mean of its divisors is an integer number (1338961).

Almost surely, 2^38281536 is an apocalyptic number.

38281536 is a gapful number since it is divisible by the number (36) 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 38281536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56236362).

38281536 is an abundant number, since it is smaller than the sum of its proper divisors (74191188).

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

38281536 is a wasteful number, since it uses less digits than its factorization.

38281536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1680 (or 1667 counting only the distinct ones).

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

The square root of 38281536 is about 6187.2074476293. The cubic root of 38281536 is about 337.0257767766.

It can be divided in two parts, 382 and 81536, that added together give a palindrome (81918).

The spelling of 38281536 in words is "thirty-eight million, two hundred eighty-one thousand, five hundred thirty-six".