343947120896 has 144 divisors (see below), whose sum is σ = 720408944640. Its totient is φ = 163692472320.

The previous prime is 343947120887. The next prime is 343947120917. The reversal of 343947120896 is 698021749343.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 192470915 + ... + 192472701.

Almost surely, 2^343947120896 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 343947120896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360204472320).

343947120896 is an abundant number, since it is smaller than the sum of its proper divisors (376461823744).

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

343947120896 is a wasteful number, since it uses less digits than its factorization.

343947120896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2220 (or 2206 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 56.

The spelling of 343947120896 in words is "three hundred forty-three billion, nine hundred forty-seven million, one hundred twenty thousand, eight hundred ninety-six".