320003745804288 has 3744 divisors, whose sum is σ = 1274039075312640. Its totient is φ = 78015878922240.

The previous prime is 320003745804283. The next prime is 320003745804373. The reversal of 320003745804288 is 882408547300023.

320003745804288 is a `hidden beast` number, since 3 + 2 + 0 + 0 + 0 + 37 + 4 + 580 + 4 + 28 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (3744).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320003745804283) 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 287 ways as a sum of consecutive naturals, for example, 3299007688656 + ... + 3299007688752.

It is an arithmetic number, because the mean of its divisors is an integer number (340288214560).

Almost surely, 2^{320003745804288} is an apocalyptic number.

320003745804288 is a gapful number since it is divisible by the number (38) 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 320003745804288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (637019537656320).

320003745804288 is an abundant number, since it is smaller than the sum of its proper divisors (954035329508352).

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

320003745804288 is an frugal number, since it uses more digits than its factorization.

320003745804288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 54.

The spelling of 320003745804288 in words is "three hundred twenty trillion, three billion, seven hundred forty-five million, eight hundred four thousand, two hundred eighty-eight".