36768339300 has 288 divisors, whose sum is σ = 136221281280. Its totient is φ = 7433510400.

The previous prime is 36768339271. The next prime is 36768339317. The reversal of 36768339300 is 393386763.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 36768339300.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 833191 + ... + 876209.

It is an arithmetic number, because the mean of its divisors is an integer number (472990560).

Almost surely, 2^36768339300 is an apocalyptic number.

36768339300 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 36768339300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68110640640).

36768339300 is an abundant number, since it is smaller than the sum of its proper divisors (99452941980).

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

36768339300 is a wasteful number, since it uses less digits than its factorization.

36768339300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43091 (or 43084 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 48.

The spelling of 36768339300 in words is "thirty-six billion, seven hundred sixty-eight million, three hundred thirty-nine thousand, three hundred".