348918360960 has 512 divisors, whose sum is σ = 1254026188800. Its totient is φ = 81876123648.

The previous prime is 348918360919. The next prime is 348918360961. The reversal of 348918360960 is 69063819843.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 348918360960.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (348918360961) 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, 206093874 + ... + 206095566.

It is an arithmetic number, because the mean of its divisors is an integer number (2449269900).

Almost surely, 2^348918360960 is an apocalyptic number.

348918360960 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 348918360960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (627013094400).

348918360960 is an abundant number, since it is smaller than the sum of its proper divisors (905107827840).

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

348918360960 is a wasteful number, since it uses less digits than its factorization.

348918360960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2110 (or 2098 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 57.

The spelling of 348918360960 in words is "three hundred forty-eight billion, nine hundred eighteen million, three hundred sixty thousand, nine hundred sixty".