349394521080 has 256 divisors, whose sum is σ = 1204320960000. Its totient is φ = 80199383040.

The previous prime is 349394521051. The next prime is 349394521111. The reversal of 349394521080 is 80125493943.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 72955326 + ... + 72960114.

It is an arithmetic number, because the mean of its divisors is an integer number (4704378750).

Almost surely, 2^349394521080 is an apocalyptic number.

349394521080 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 349394521080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (602160480000).

349394521080 is an abundant number, since it is smaller than the sum of its proper divisors (854926438920).

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

349394521080 is a wasteful number, since it uses less digits than its factorization.

349394521080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7742 (or 7738 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 48.

The spelling of 349394521080 in words is "three hundred forty-nine billion, three hundred ninety-four million, five hundred twenty-one thousand, eighty".