300049780352 has 128 divisors (see below), whose sum is σ = 713225779200. Its totient is φ = 122937154560.

The previous prime is 300049780339. The next prime is 300049780397. The reversal of 300049780352 is 253087940003.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73341827 + ... + 73345917.

It is an arithmetic number, because the mean of its divisors is an integer number (5572076400).

Almost surely, 2^300049780352 is an apocalyptic number.

300049780352 is a gapful number since it is divisible by the number (32) 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 300049780352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356612889600).

300049780352 is an abundant number, since it is smaller than the sum of its proper divisors (413175998848).

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

300049780352 is a wasteful number, since it uses less digits than its factorization.

300049780352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7694 (or 7682 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 41.

The spelling of 300049780352 in words is "three hundred billion, forty-nine million, seven hundred eighty thousand, three hundred fifty-two".