346222080 has 160 divisors (see below), whose sum is σ = 1230055200. Its totient is φ = 92307456.

The previous prime is 346222033. The next prime is 346222091. The reversal of 346222080 is 80222643.

346222080 is a `hidden beast` number, since 34 + 622 + 2 + 0 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 66616 + ... + 71624.

It is an arithmetic number, because the mean of its divisors is an integer number (7687845).

Almost surely, 2^346222080 is an apocalyptic number.

346222080 is a gapful number since it is divisible by the number (30) 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 346222080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (615027600).

346222080 is an abundant number, since it is smaller than the sum of its proper divisors (883833120).

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

346222080 is an equidigital number, since it uses as much as digits as its factorization.

346222080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5041 (or 5019 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 346222080 is about 18607.0438275402. The cubic root of 346222080 is about 702.1850633426.

The spelling of 346222080 in words is "three hundred forty-six million, two hundred twenty-two thousand, eighty".