36126336 has 32 divisors (see below), whose sum is σ = 95961600. Its totient is φ = 12041984.

The previous prime is 36126329. The next prime is 36126341. The reversal of 36126336 is 63362163.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×36126336² = 2610224305569792, which contains 22 as substring.

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

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 46656 + ... + 47423.

It is an arithmetic number, because the mean of its divisors is an integer number (2998800).

Almost surely, 2^36126336 is an apocalyptic number.

It is an amenable number.

36126336 is an abundant number, since it is smaller than the sum of its proper divisors (59835264).

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

36126336 is an equidigital number, since it uses as much as digits as its factorization.

36126336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94096 (or 94084 counting only the distinct ones).

The product of its digits is 11664, while the sum is 30.

The square root of 36126336 is about 6010.5187796063. The cubic root of 36126336 is about 330.5785260511.

Adding to 36126336 its reverse (63362163), we get a palindrome (99488499).

The spelling of 36126336 in words is "thirty-six million, one hundred twenty-six thousand, three hundred thirty-six".