36347883264 has 324 divisors, whose sum is σ = 132997377240. Its totient is φ = 9440686080.

The previous prime is 36347883263. The next prime is 36347883269. The reversal of 36347883264 is 46238874363.

36347883264 is a `hidden beast` number, since 36 + 3 + 478 + 83 + 2 + 64 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 36347883264.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36347883263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1227222 + ... + 1256490.

Almost surely, 2^36347883264 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 36347883264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66498688620).

36347883264 is an abundant number, since it is smaller than the sum of its proper divisors (96649493976).

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

36347883264 is a wasteful number, since it uses less digits than its factorization.

36347883264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29316 (or 29292 counting only the distinct ones).

The product of its digits is 13934592, while the sum is 54.

The spelling of 36347883264 in words is "thirty-six billion, three hundred forty-seven million, eight hundred eighty-three thousand, two hundred sixty-four".