36384002208 has 144 divisors (see below), whose sum is σ = 112225951656. Its totient is φ = 11136122880.

The previous prime is 36384002173. The next prime is 36384002269. The reversal of 36384002208 is 80220048363.

It can be written as a sum of positive squares in 4 ways, for example, as 20292572304 + 16091429904 = 142452^2 + 126852^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 110110 + ... + 291362.

Almost surely, 2^36384002208 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 36384002208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56112975828).

36384002208 is an abundant number, since it is smaller than the sum of its proper divisors (75841949448).

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

36384002208 is a wasteful number, since it uses less digits than its factorization.

36384002208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181327 (or 181316 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 36384002208 in words is "thirty-six billion, three hundred eighty-four million, two thousand, two hundred eight".