306399836800 has 384 divisors, whose sum is σ = 821411712000. Its totient is φ = 112556666880.

The previous prime is 306399836779. The next prime is 306399836801. The reversal of 306399836800 is 8638993603.

It is not an unprimeable number, because it can be changed into a prime (306399836801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 426146841 + ... + 426147559.

It is an arithmetic number, because the mean of its divisors is an integer number (2139093000).

Almost surely, 2^306399836800 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 306399836800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410705856000).

306399836800 is an abundant number, since it is smaller than the sum of its proper divisors (515011875200).

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

306399836800 is a wasteful number, since it uses less digits than its factorization.

306399836800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 968 (or 951 counting only the distinct ones).

The product of its (nonzero) digits is 5038848, while the sum is 55.

The spelling of 306399836800 in words is "three hundred six billion, three hundred ninety-nine million, eight hundred thirty-six thousand, eight hundred".