36411312 has 120 divisors (see below), whose sum is σ = 111193776. Its totient is φ = 10235904.

The previous prime is 36411307. The next prime is 36411317. The reversal of 36411312 is 21311463.

36411312 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 (36411307) and next prime (36411317).

It is a super-2 number, since 2×36411312² = 2651567283122688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

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 (36411317) 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 23 ways as a sum of consecutive naturals, for example, 265708 + ... + 265844.

Almost surely, 2^36411312 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 36411312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55596888).

36411312 is an abundant number, since it is smaller than the sum of its proper divisors (74782464).

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

36411312 is a wasteful number, since it uses less digits than its factorization.

36411312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 262 counting only the distinct ones).

The product of its digits is 432, while the sum is 21.

The square root of 36411312 is about 6034.1786516476. The cubic root of 36411312 is about 331.4454865100.

Adding to 36411312 its reverse (21311463), we get a palindrome (57722775).

The spelling of 36411312 in words is "thirty-six million, four hundred eleven thousand, three hundred twelve".