348220547280 has 480 divisors, whose sum is σ = 1248310103040. Its totient is φ = 86842368000.

The previous prime is 348220547197. The next prime is 348220547293. The reversal of 348220547280 is 82745022843.

348220547280 is a `hidden beast` number, since 3 + 4 + 8 + 2 + 20 + 547 + 2 + 80 = 666.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 99746335 + ... + 99749825.

It is an arithmetic number, because the mean of its divisors is an integer number (2600646048).

Almost surely, 2^348220547280 is an apocalyptic number.

348220547280 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 348220547280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624155051520).

348220547280 is an abundant number, since it is smaller than the sum of its proper divisors (900089555760).

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

348220547280 is a wasteful number, since it uses less digits than its factorization.

348220547280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3691 (or 3682 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 45.

The spelling of 348220547280 in words is "three hundred forty-eight billion, two hundred twenty million, five hundred forty-seven thousand, two hundred eighty".