36287032320 has 1056 divisors, whose sum is σ = 163985333760. Its totient is φ = 7524679680.

The previous prime is 36287032319. The next prime is 36287032343. The reversal of 36287032320 is 2323078263.

It is a happy number.

36287032320 is a `hidden beast` number, since 3 + 628 + 7 + 0 + 3 + 2 + 3 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 74511117 + ... + 74511603.

Almost surely, 2^36287032320 is an apocalyptic number.

36287032320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36287032320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81992666880).

36287032320 is an abundant number, since it is smaller than the sum of its proper divisors (127698301440).

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

36287032320 is a wasteful number, since it uses less digits than its factorization.

36287032320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The spelling of 36287032320 in words is "thirty-six billion, two hundred eighty-seven million, thirty-two thousand, three hundred twenty".