346882848 has 96 divisors (see below), whose sum is σ = 1032292800. Its totient is φ = 101108736.

The previous prime is 346882843. The next prime is 346882853. The reversal of 346882848 is 848288643.

346882848 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (346882843) and next prime (346882853).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×346882848² = 240655420473182208, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 346882848.

It is not an unprimeable number, because it can be changed into a prime (346882843) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16398 + ... + 31026.

It is an arithmetic number, because the mean of its divisors is an integer number (10753050).

Almost surely, 2^346882848 is an apocalyptic number.

346882848 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 346882848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516146400).

346882848 is an abundant number, since it is smaller than the sum of its proper divisors (685409952).

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

346882848 is a wasteful number, since it uses less digits than its factorization.

346882848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14674 (or 14666 counting only the distinct ones).

The product of its digits is 2359296, while the sum is 51.

The square root of 346882848 is about 18624.7912203063. The cubic root of 346882848 is about 702.6314883285.

The spelling of 346882848 in words is "three hundred forty-six million, eight hundred eighty-two thousand, eight hundred forty-eight".