349661928 has 192 divisors, whose sum is σ = 1115412480. Its totient is φ = 89400960.

The previous prime is 349661911. The next prime is 349661929. The reversal of 349661928 is 829166943.

It is not an unprimeable number, because it can be changed into a prime (349661929) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2093701 + ... + 2093867.

It is an arithmetic number, because the mean of its divisors is an integer number (5809440).

Almost surely, 2^349661928 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 349661928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557706240).

349661928 is an abundant number, since it is smaller than the sum of its proper divisors (765750552).

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

349661928 is a wasteful number, since it uses less digits than its factorization.

349661928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 293 counting only the distinct ones).

The product of its digits is 559872, while the sum is 48.

The square root of 349661928 is about 18699.2493967004. The cubic root of 349661928 is about 704.5028958838.

The spelling of 349661928 in words is "three hundred forty-nine million, six hundred sixty-one thousand, nine hundred twenty-eight".