36845224000 has 224 divisors, whose sum is σ = 100674598752. Its totient is φ = 13271040000.

The previous prime is 36845223953. The next prime is 36845224001. The reversal of 36845224000 is 42254863.

It can be written as a sum of positive squares in 16 ways, for example, as 35187757056 + 1657466944 = 187584^2 + 40712^2 .

It is a super-2 number, since 2×36845224000² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (36845224001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4259680 + ... + 4268320.

It is an arithmetic number, because the mean of its divisors is an integer number (449440173).

Almost surely, 2^36845224000 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 36845224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50337299376).

36845224000 is an abundant number, since it is smaller than the sum of its proper divisors (63829374752).

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

36845224000 is a wasteful number, since it uses less digits than its factorization.

36845224000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8722 (or 8702 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 34.

Adding to 36845224000 its reverse (42254863), we get a palindrome (36887478863).

The spelling of 36845224000 in words is "thirty-six billion, eight hundred forty-five million, two hundred twenty-four thousand".