348361967296 has 336 divisors, whose sum is σ = 880262400000. Its totient is φ = 135862272000.

The previous prime is 348361967279. The next prime is 348361967311. The reversal of 348361967296 is 692769163843.

It is a Harshad number since it is a multiple of its sum of digits (64).

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, 278912080 + ... + 278913328.

Almost surely, 2^348361967296 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 348361967296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440131200000).

348361967296 is an abundant number, since it is smaller than the sum of its proper divisors (531900432704).

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

348361967296 is a wasteful number, since it uses less digits than its factorization.

348361967296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1476 (or 1459 counting only the distinct ones).

The product of its digits is 70543872, while the sum is 64.

The spelling of 348361967296 in words is "three hundred forty-eight billion, three hundred sixty-one million, nine hundred sixty-seven thousand, two hundred ninety-six".