348393232872 has 192 divisors, whose sum is σ = 1024522836480. Its totient is φ = 106665901056.

The previous prime is 348393232801. The next prime is 348393232883. The reversal of 348393232872 is 278232393843.

348393232872 is a `hidden beast` number, since 3 + 4 + 8 + 39 + 323 + 287 + 2 = 666.

It is a super-2 number, since 2×348393232872² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4082868 + ... + 4167324.

It is an arithmetic number, because the mean of its divisors is an integer number (5336056440).

Almost surely, 2^348393232872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 348393232872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512261418240).

348393232872 is an abundant number, since it is smaller than the sum of its proper divisors (676129603608).

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

348393232872 is a wasteful number, since it uses less digits than its factorization.

348393232872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84592 (or 84585 counting only the distinct ones).

The product of its digits is 10450944, while the sum is 54.

The spelling of 348393232872 in words is "three hundred forty-eight billion, three hundred ninety-three million, two hundred thirty-two thousand, eight hundred seventy-two".