304348423680 has 960 divisors, whose sum is σ = 1312585274880. Its totient is φ = 66523742208.

The previous prime is 304348423679. The next prime is 304348423693. The reversal of 304348423680 is 86324843403.

304348423680 is a `hidden beast` number, since 30 + 43 + 484 + 23 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 77896287 + ... + 77900193.

It is an arithmetic number, because the mean of its divisors is an integer number (1367276328).

Almost surely, 2^304348423680 is an apocalyptic number.

304348423680 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 304348423680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (656292637440).

304348423680 is an abundant number, since it is smaller than the sum of its proper divisors (1008236851200).

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

304348423680 is a wasteful number, since it uses less digits than its factorization.

304348423680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3976 (or 3947 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 45.

The spelling of 304348423680 in words is "three hundred four billion, three hundred forty-eight million, four hundred twenty-three thousand, six hundred eighty".