36313829283200 has 768 divisors, whose sum is σ = 112466016000000. Its totient is φ = 11543895982080.

The previous prime is 36313829283161. The next prime is 36313829283271. The reversal of 36313829283200 is 238292831363.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 980138276 + ... + 980175324.

It is an arithmetic number, because the mean of its divisors is an integer number (146440125000).

Almost surely, 2^{36313829283200} 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 36313829283200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56233008000000).

36313829283200 is an abundant number, since it is smaller than the sum of its proper divisors (76152186716800).

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

36313829283200 is a wasteful number, since it uses less digits than its factorization.

36313829283200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37160 (or 37129 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 50.

The spelling of 36313829283200 in words is "thirty-six trillion, three hundred thirteen billion, eight hundred twenty-nine million, two hundred eighty-three thousand, two hundred".