348205342848 has 512 divisors, whose sum is σ = 1089497088000. Its totient is φ = 97417728000.

The previous prime is 348205342847. The next prime is 348205342883. The reversal of 348205342848 is 848243502843.

It is a happy number.

It is a super-2 number, since 2×348205342848² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 348205342848.

It is not an unprimeable number, because it can be changed into a prime (348205342847) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 715000461 + ... + 715000947.

It is an arithmetic number, because the mean of its divisors is an integer number (2127924000).

Almost surely, 2^348205342848 is an apocalyptic number.

348205342848 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 348205342848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544748544000).

348205342848 is an abundant number, since it is smaller than the sum of its proper divisors (741291745152).

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

348205342848 is a wasteful number, since it uses less digits than its factorization.

348205342848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 744 (or 732 counting only the distinct ones).

The product of its (nonzero) digits is 5898240, while the sum is 51.

The spelling of 348205342848 in words is "three hundred forty-eight billion, two hundred five million, three hundred forty-two thousand, eight hundred forty-eight".