36031072224 has 96 divisors (see below), whose sum is σ = 108128272896. Its totient is φ = 10291253760.

The previous prime is 36031072223. The next prime is 36031072247. The reversal of 36031072224 is 42227013063.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×36031072224² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 36031072191 and 36031072200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36031072223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2686014 + ... + 2699394.

It is an arithmetic number, because the mean of its divisors is an integer number (1126336176).

Almost surely, 2^36031072224 is an apocalyptic number.

It is an amenable number.

36031072224 is an abundant number, since it is smaller than the sum of its proper divisors (72097200672).

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

36031072224 is a wasteful number, since it uses less digits than its factorization.

36031072224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17408 (or 17400 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 30.

Adding to 36031072224 its reverse (42227013063), we get a palindrome (78258085287).

The spelling of 36031072224 in words is "thirty-six billion, thirty-one million, seventy-two thousand, two hundred twenty-four".