300342000672 has 144 divisors (see below), whose sum is σ = 982576812672. Its totient is φ = 85243622400.

The previous prime is 300342000667. The next prime is 300342000689. The reversal of 300342000672 is 276000243003.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 188893 + ... + 797724.

It is an arithmetic number, because the mean of its divisors is an integer number (6823450088).

Almost surely, 2^300342000672 is an apocalyptic number.

300342000672 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 300342000672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491288406336).

300342000672 is an abundant number, since it is smaller than the sum of its proper divisors (682234812000).

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

300342000672 is a wasteful number, since it uses less digits than its factorization.

300342000672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 986791 (or 986780 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

Adding to 300342000672 its reverse (276000243003), we get a palindrome (576342243675).

The spelling of 300342000672 in words is "three hundred billion, three hundred forty-two million, six hundred seventy-two", and thus it is an aban number.