36024211416 has 128 divisors (see below), whose sum is σ = 94312857600. Its totient is φ = 11453581440.

The previous prime is 36024211397. The next prime is 36024211417. The reversal of 36024211416 is 61411242063.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36024211417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15400375 + ... + 15402713.

It is an arithmetic number, because the mean of its divisors is an integer number (736819200).

Almost surely, 2^36024211416 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 36024211416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47156428800).

36024211416 is an abundant number, since it is smaller than the sum of its proper divisors (58288646184).

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

36024211416 is a wasteful number, since it uses less digits than its factorization.

36024211416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2669 (or 2665 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

Adding to 36024211416 its reverse (61411242063), we get a palindrome (97435453479).

The spelling of 36024211416 in words is "thirty-six billion, twenty-four million, two hundred eleven thousand, four hundred sixteen".