346865920 has 72 divisors (see below), whose sum is σ = 846694296. Its totient is φ = 136101888.

The previous prime is 346865917. The next prime is 346865927. The reversal of 346865920 is 29568643.

It can be written as a sum of positive squares in 4 ways, for example, as 2985984 + 343879936 = 1728^2 + 18544^2 .

It is not an unprimeable number, because it can be changed into a prime (346865927) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 65284 + ... + 70396.

It is an arithmetic number, because the mean of its divisors is an integer number (11759643).

Almost surely, 2^346865920 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 346865920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423347148).

346865920 is an abundant number, since it is smaller than the sum of its proper divisors (499828376).

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

346865920 is an equidigital number, since it uses as much as digits as its factorization.

346865920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5187 (or 5173 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 43.

The square root of 346865920 is about 18624.3367667147. The cubic root of 346865920 is about 702.6200585914.

The spelling of 346865920 in words is "three hundred forty-six million, eight hundred sixty-five thousand, nine hundred twenty".