300003934680 has 640 divisors, whose sum is σ = 1075080314880. Its totient is φ = 74915850240.

The previous prime is 300003934673. The next prime is 300003934721. The reversal of 300003934680 is 86439300003.

300003934680 is a `hidden beast` number, since 300 + 0 + 0 + 3 + 9 + 346 + 8 + 0 = 666.

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

It is a congruent number.

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 159 ways as a sum of consecutive naturals, for example, 486229732 + ... + 486230348.

It is an arithmetic number, because the mean of its divisors is an integer number (1679812992).

Almost surely, 2^300003934680 is an apocalyptic number.

300003934680 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 300003934680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537540157440).

300003934680 is an abundant number, since it is smaller than the sum of its proper divisors (775076380200).

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

300003934680 is a wasteful number, since it uses less digits than its factorization.

300003934680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 821 (or 808 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The spelling of 300003934680 in words is "three hundred billion, three million, nine hundred thirty-four thousand, six hundred eighty".