36339900960 has 288 divisors, whose sum is σ = 126288288000. Its totient is φ = 8777134080.

The previous prime is 36339900943. The next prime is 36339900967. The reversal of 36339900960 is 6900993363.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (36339900967) 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 47 ways as a sum of consecutive naturals, for example, 18178041 + ... + 18180039.

It is an arithmetic number, because the mean of its divisors is an integer number (438501000).

Almost surely, 2^36339900960 is an apocalyptic number.

36339900960 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 36339900960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63144144000).

36339900960 is an abundant number, since it is smaller than the sum of its proper divisors (89948387040).

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

36339900960 is a wasteful number, since it uses less digits than its factorization.

36339900960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2352 (or 2333 counting only the distinct ones).

The product of its (nonzero) digits is 708588, while the sum is 48.

The spelling of 36339900960 in words is "thirty-six billion, three hundred thirty-nine million, nine hundred thousand, nine hundred sixty".