346105848022220 has 192 divisors, whose sum is σ = 867992281188480. Its totient is φ = 114257052057600.

The previous prime is 346105848022219. The next prime is 346105848022229. The reversal of 346105848022220 is 22220848501643.

It is a super-2 number, since 2×346105848022220² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (346105848022229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1495529876 + ... + 1495761284.

It is an arithmetic number, because the mean of its divisors is an integer number (4520793131190).

Almost surely, 2^{346105848022220} 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 346105848022220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433996140594240).

346105848022220 is an abundant number, since it is smaller than the sum of its proper divisors (521886433166260).

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

346105848022220 is a wasteful number, since it uses less digits than its factorization.

346105848022220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240076 (or 240074 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 47.

The spelling of 346105848022220 in words is "three hundred forty-six trillion, one hundred five billion, eight hundred forty-eight million, twenty-two thousand, two hundred twenty".