306829021824 has 192 divisors, whose sum is σ = 960657483240. Its totient is φ = 93435199488.

The previous prime is 306829021823. The next prime is 306829021841. The reversal of 306829021824 is 428120928603.

306829021824 is a `hidden beast` number, since 306 + 82 + 90 + 2 + 182 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 230745729600 + 76083292224 = 480360^2 + 275832^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a self number, because there is not a number n which added to its sum of digits gives 306829021824.

It is not an unprimeable number, because it can be changed into a prime (306829021823) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1347064 + ... + 1558280.

Almost surely, 2^306829021824 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 306829021824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480328741620).

306829021824 is an abundant number, since it is smaller than the sum of its proper divisors (653828461416).

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

306829021824 is a wasteful number, since it uses less digits than its factorization.

306829021824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211347 (or 211332 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 306829021824 in words is "three hundred six billion, eight hundred twenty-nine million, twenty-one thousand, eight hundred twenty-four".