349389155328 has 176 divisors, whose sum is σ = 1006762417920. Its totient is φ = 107350769664.

The previous prime is 349389155327. The next prime is 349389155333. The reversal of 349389155328 is 823551983943.

It is not an unprimeable number, because it can be changed into a prime (349389155327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2078725 + ... + 2240507.

Almost surely, 2^349389155328 is an apocalyptic number.

349389155328 is a gapful number since it is divisible by the number (38) 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 349389155328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503381208960).

349389155328 is an abundant number, since it is smaller than the sum of its proper divisors (657373262592).

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

349389155328 is a wasteful number, since it uses less digits than its factorization.

349389155328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161862 (or 161844 counting only the distinct ones).

The product of its digits is 27993600, while the sum is 60.

The spelling of 349389155328 in words is "three hundred forty-nine billion, three hundred eighty-nine million, one hundred fifty-five thousand, three hundred twenty-eight".