36123336 has 48 divisors (see below), whose sum is σ = 98804160. Its totient is φ = 11921760.

The previous prime is 36123331. The next prime is 36123341. The reversal of 36123336 is 63332163.

It is an interprime number because it is at equal distance from previous prime (36123331) and next prime (36123341).

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

It is not an unprimeable number, because it can be changed into a prime (36123331) 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 11 ways as a sum of consecutive naturals, for example, 4981 + ... + 9851.

It is an arithmetic number, because the mean of its divisors is an integer number (2058420).

Almost surely, 2^36123336 is an apocalyptic number.

36123336 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 36123336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49402080).

36123336 is an abundant number, since it is smaller than the sum of its proper divisors (62680824).

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

36123336 is a wasteful number, since it uses less digits than its factorization.

36123336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4986 (or 4979 counting only the distinct ones).

The product of its digits is 5832, while the sum is 27.

The square root of 36123336 is about 6010.2692119405. The cubic root of 36123336 is about 330.5693751736.

Adding to 36123336 its reverse (63332163), we get a palindrome (99455499).

The spelling of 36123336 in words is "thirty-six million, one hundred twenty-three thousand, three hundred thirty-six".