38633112 has 192 divisors, whose sum is σ = 132088320. Its totient is φ = 10326528.

The previous prime is 38633087. The next prime is 38633113. The reversal of 38633112 is 21133683.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38633113) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 231253 + ... + 231419.

It is an arithmetic number, because the mean of its divisors is an integer number (687960).

Almost surely, 2^38633112 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 38633112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66044160).

38633112 is an abundant number, since it is smaller than the sum of its proper divisors (93455208).

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

38633112 is a wasteful number, since it uses less digits than its factorization.

38633112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 196 counting only the distinct ones).

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

The square root of 38633112 is about 6215.5540380565. The cubic root of 38633112 is about 338.0543777689.

Adding to 38633112 its reverse (21133683), we get a palindrome (59766795).

The spelling of 38633112 in words is "thirty-eight million, six hundred thirty-three thousand, one hundred twelve".