348808360000 has 105 divisors (see below), whose sum is σ = 865224368481. Its totient is φ = 139476096000.

The previous prime is 348808359979. The next prime is 348808360009. The reversal of 348808360000 is 63808843.

It is a happy number.

The square root of 348808360000 is 590600.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 154813919296 + 193994440704 = 393464^2 + 440448^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (348808360009) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 118118524 + ... + 118121476.

Almost surely, 2^348808360000 is an apocalyptic number.

348808360000 is the 590600-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 348808360000

348808360000 is an abundant number, since it is smaller than the sum of its proper divisors (516416008481).

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

348808360000 is an frugal number, since it uses more digits than its factorization.

348808360000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5938 (or 2960 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 40.

The spelling of 348808360000 in words is "three hundred forty-eight billion, eight hundred eight million, three hundred sixty thousand".