349141538928 has 320 divisors, whose sum is σ = 1213314342912. Its totient is φ = 83868549120.

The previous prime is 349141538923. The next prime is 349141538951. The reversal of 349141538928 is 829835141943.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349141538923) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2226100 + ... + 2377772.

Almost surely, 2^349141538928 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 349141538928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (606657171456).

349141538928 is an abundant number, since it is smaller than the sum of its proper divisors (864172803984).

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

349141538928 is a wasteful number, since it uses less digits than its factorization.

349141538928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151752 (or 151746 counting only the distinct ones).

The product of its digits is 7464960, while the sum is 57.

The spelling of 349141538928 in words is "three hundred forty-nine billion, one hundred forty-one million, five hundred thirty-eight thousand, nine hundred twenty-eight".