348467071680 has 2688 divisors, whose sum is σ = 1712669736960. Its totient is φ = 64656506880.

The previous prime is 348467071679. The next prime is 348467071721. The reversal of 348467071680 is 86170764843.

348467071680 is a `hidden beast` number, since 3 + 484 + 6 + 70 + 7 + 16 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 11240873265 + ... + 11240873295.

It is an arithmetic number, because the mean of its divisors is an integer number (637153920).

Almost surely, 2^348467071680 is an apocalyptic number.

348467071680 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 348467071680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (856334868480).

348467071680 is an abundant number, since it is smaller than the sum of its proper divisors (1364202665280).

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

348467071680 is a wasteful number, since it uses less digits than its factorization.

348467071680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 348467071680 in words is "three hundred forty-eight billion, four hundred sixty-seven million, seventy-one thousand, six hundred eighty".