36223712000 has 576 divisors, whose sum is σ = 110199398400. Its totient is φ = 11597414400.

The previous prime is 36223711973. The next prime is 36223712029. The reversal of 36223712000 is 21732263.

It is a super-2 number, since 2×36223712000² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 407007956 + ... + 407008044.

It is an arithmetic number, because the mean of its divisors is an integer number (191318400).

Almost surely, 2^36223712000 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 36223712000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55099699200).

36223712000 is an abundant number, since it is smaller than the sum of its proper divisors (73975686400).

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

36223712000 is an equidigital number, since it uses as much as digits as its factorization.

36223712000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 26.

The spelling of 36223712000 in words is "thirty-six billion, two hundred twenty-three million, seven hundred twelve thousand".