36288315200 has 84 divisors (see below), whose sum is σ = 89624938860. Its totient is φ = 14461194240.

The previous prime is 36288315197. The next prime is 36288315221. The reversal of 36288315200 is 251388263.

It can be written as a sum of positive squares in 6 ways, for example, as 706283776 + 35582031424 = 26576^2 + 188632^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 388244 + ... + 472556.

Almost surely, 2^36288315200 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 36288315200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44812469430).

36288315200 is an abundant number, since it is smaller than the sum of its proper divisors (53336623660).

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

36288315200 is a wasteful number, since it uses less digits than its factorization.

36288315200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84604 (or 84589 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 38.

The spelling of 36288315200 in words is "thirty-six billion, two hundred eighty-eight million, three hundred fifteen thousand, two hundred".