36002267985384 has 160 divisors (see below), whose sum is σ = 101266500471840. Its totient is φ = 11950020720000.

The previous prime is 36002267985329. The next prime is 36002267985407. The reversal of 36002267985384 is 48358976220063.

It is a happy number.

36002267985384 is a `hidden beast` number, since 3 + 6 + 0 + 0 + 2 + 2 + 6 + 7 + 98 + 538 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 266022534 + ... + 266157834.

It is an arithmetic number, because the mean of its divisors is an integer number (632915627949).

Almost surely, 2^{36002267985384} 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 36002267985384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50633250235920).

36002267985384 is an abundant number, since it is smaller than the sum of its proper divisors (65264232486456).

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

36002267985384 is a wasteful number, since it uses less digits than its factorization.

36002267985384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137053 (or 137040 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 63.

The spelling of 36002267985384 in words is "thirty-six trillion, two billion, two hundred sixty-seven million, nine hundred eighty-five thousand, three hundred eighty-four".