348734463968 has 288 divisors, whose sum is σ = 809686231200. Its totient is φ = 147313520640.

The previous prime is 348734463967. The next prime is 348734463989. The reversal of 348734463968 is 869364437843.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (348734463967) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1258969046 + ... + 1258969322.

It is an arithmetic number, because the mean of its divisors is an integer number (2811410525).

Almost surely, 2^348734463968 is an apocalyptic number.

348734463968 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 348734463968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404843115600).

348734463968 is an abundant number, since it is smaller than the sum of its proper divisors (460951767232).

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

348734463968 is a wasteful number, since it uses less digits than its factorization.

348734463968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 594 (or 575 counting only the distinct ones).

The product of its digits is 250822656, while the sum is 65.

The spelling of 348734463968 in words is "three hundred forty-eight billion, seven hundred thirty-four million, four hundred sixty-three thousand, nine hundred sixty-eight".