36216224000 has 288 divisors, whose sum is σ = 99271291392. Its totient is φ = 13056000000.

The previous prime is 36216223957. The next prime is 36216224029. The reversal of 36216224000 is 42261263.

It is a super-3 number, since 3×36216224000³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48223625 + ... + 48224375.

It is an arithmetic number, because the mean of its divisors is an integer number (344691984).

Almost surely, 2^36216224000 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 36216224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49635645696).

36216224000 is an abundant number, since it is smaller than the sum of its proper divisors (63055067392).

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

36216224000 is a wasteful number, since it uses less digits than its factorization.

36216224000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 930 (or 906 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 36216224000 its reverse (42261263), we get a palindrome (36258485263).

The spelling of 36216224000 in words is "thirty-six billion, two hundred sixteen million, two hundred twenty-four thousand".