346350420 has 72 divisors (see below), whose sum is σ = 1131419016. Its totient is φ = 85254912.

The previous prime is 346350413. The next prime is 346350421. The reversal of 346350420 is 24053643.

346350420 is a `hidden beast` number, since 3 + 4 + 635 + 0 + 4 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2396304 + 343954116 = 1548^2 + 18546^2 .

It is a super-2 number, since 2×346350420² = 239917226868352800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (346350421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71667 + ... + 76346.

It is an arithmetic number, because the mean of its divisors is an integer number (15714153).

Almost surely, 2^346350420 is an apocalyptic number.

346350420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

346350420 is an abundant number, since it is smaller than the sum of its proper divisors (785068596).

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

346350420 is a wasteful number, since it uses less digits than its factorization.

346350420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148041 (or 148036 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 346350420 is about 18610.4922019811. The cubic root of 346350420 is about 702.2718162326.

The spelling of 346350420 in words is "three hundred forty-six million, three hundred fifty thousand, four hundred twenty".