36001984872 has 256 divisors, whose sum is σ = 112469575680. Its totient is φ = 9368985600.

The previous prime is 36001984859. The next prime is 36001984873. The reversal of 36001984872 is 27848910063.

It is a super-2 number, since 2×36001984872² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (36001984873) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15338403 + ... + 15340749.

It is an arithmetic number, because the mean of its divisors is an integer number (439334280).

Almost surely, 2^36001984872 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 36001984872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56234787840).

36001984872 is an abundant number, since it is smaller than the sum of its proper divisors (76467590808).

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

36001984872 is a wasteful number, since it uses less digits than its factorization.

36001984872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2552 (or 2548 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 48.

The spelling of 36001984872 in words is "thirty-six billion, one million, nine hundred eighty-four thousand, eight hundred seventy-two".