36338112 has 112 divisors (see below), whose sum is σ = 113202720. Its totient is φ = 11390976.

The previous prime is 36338111. The next prime is 36338149. The reversal of 36338112 is 21183363.

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 (36338111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28758 + ... + 29994.

Almost surely, 2^36338112 is an apocalyptic number.

36338112 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 36338112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56601360).

36338112 is an abundant number, since it is smaller than the sum of its proper divisors (76864608).

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

36338112 is a wasteful number, since it uses less digits than its factorization.

36338112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1275 (or 1259 counting only the distinct ones).

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

The square root of 36338112 is about 6028.1101516147. The cubic root of 36338112 is about 331.2232287846.

The spelling of 36338112 in words is "thirty-six million, three hundred thirty-eight thousand, one hundred twelve".