36381363200 has 792 divisors, whose sum is σ = 119102189472. Its totient is φ = 10899947520.

The previous prime is 36381363199. The next prime is 36381363209. The reversal of 36381363200 is 236318363.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is not an unprimeable number, because it can be changed into a prime (36381363209) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 375065552 + ... + 375065648.

Almost surely, 2^36381363200 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 36381363200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59551094736).

36381363200 is an abundant number, since it is smaller than the sum of its proper divisors (82720826272).

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

36381363200 is a wasteful number, since it uses less digits than its factorization.

36381363200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 35.

The spelling of 36381363200 in words is "thirty-six billion, three hundred eighty-one million, three hundred sixty-three thousand, two hundred".