346815545344 has 120 divisors (see below), whose sum is σ = 759752700840. Its totient is φ = 157575806976.

The previous prime is 346815545333. The next prime is 346815545359. The reversal of 346815545344 is 443545518643.

It can be written as a sum of positive squares in 4 ways, for example, as 10749542400 + 336066002944 = 103680^2 + 579712^2 .

It is a super-2 number, since 2×346815545344² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 346815545291 and 346815545300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8055844 + ... + 8098780.

It is an arithmetic number, because the mean of its divisors is an integer number (6331272507).

Almost surely, 2^346815545344 is an apocalyptic number.

346815545344 is a gapful number since it is divisible by the number (34) 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 346815545344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379876350420).

346815545344 is an abundant number, since it is smaller than the sum of its proper divisors (412937155496).

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

346815545344 is an equidigital number, since it uses as much as digits as its factorization.

346815545344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43011 (or 42985 counting only the distinct ones).

The product of its digits is 13824000, while the sum is 52.

The spelling of 346815545344 in words is "three hundred forty-six billion, eight hundred fifteen million, five hundred forty-five thousand, three hundred forty-four".