38131632 has 240 divisors, whose sum is σ = 140824320. Its totient is φ = 9331200.

The previous prime is 38131627. The next prime is 38131637. The reversal of 38131632 is 23613183.

It is a happy number.

38131632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (38131627) and next prime (38131637).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 38131596 and 38131605.

It is not an unprimeable number, because it can be changed into a prime (38131637) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 210582 + ... + 210762.

It is an arithmetic number, because the mean of its divisors is an integer number (586768).

Almost surely, 2^38131632 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 38131632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70412160).

38131632 is an abundant number, since it is smaller than the sum of its proper divisors (102692688).

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

38131632 is a wasteful number, since it uses less digits than its factorization.

38131632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 223 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 38131632 is about 6175.0815379232. The cubic root of 38131632 is about 336.5852893971.

It can be divided in two parts, 3813 and 1632, that added together give a palindrome (5445).

The spelling of 38131632 in words is "thirty-eight million, one hundred thirty-one thousand, six hundred thirty-two".