347878520736256 has 160 divisors (see below), whose sum is σ = 733169729223360. Its totient is φ = 164444955181056.

The previous prime is 347878520736217. The next prime is 347878520736283. The reversal of 347878520736256 is 652637025878743.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12876268860 + ... + 12876295876.

It is an arithmetic number, because the mean of its divisors is an integer number (4582310807646).

Almost surely, 2^{347878520736256} 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 347878520736256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366584864611680).

347878520736256 is an abundant number, since it is smaller than the sum of its proper divisors (385291208487104).

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

347878520736256 is a wasteful number, since it uses less digits than its factorization.

347878520736256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29734 (or 29718 counting only the distinct ones).

The product of its (nonzero) digits is 2844979200, while the sum is 73.

The spelling of 347878520736256 in words is "three hundred forty-seven trillion, eight hundred seventy-eight billion, five hundred twenty million, seven hundred thirty-six thousand, two hundred fifty-six".