346007856 has 80 divisors (see below), whose sum is σ = 924628320. Its totient is φ = 111421440.

The previous prime is 346007839. The next prime is 346007861. The reversal of 346007856 is 658700643.

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, 213706 + ... + 215318.

It is an arithmetic number, because the mean of its divisors is an integer number (11557854).

Almost surely, 2^346007856 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 346007856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462314160).

346007856 is an abundant number, since it is smaller than the sum of its proper divisors (578620464).

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

346007856 is a wasteful number, since it uses less digits than its factorization.

346007856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1774 (or 1768 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The square root of 346007856 is about 18601.2864071279. The cubic root of 346007856 is about 702.0402084095.

The spelling of 346007856 in words is "three hundred forty-six million, seven thousand, eight hundred fifty-six".