349774116 has 192 divisors, whose sum is σ = 975421440. Its totient is φ = 96768000.

The previous prime is 349774109. The next prime is 349774163. The reversal of 349774116 is 611477943.

349774116 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4926361 + ... + 4926431.

It is an arithmetic number, because the mean of its divisors is an integer number (5080320).

Almost surely, 2^349774116 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 349774116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487710720).

349774116 is an abundant number, since it is smaller than the sum of its proper divisors (625647324).

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

349774116 is a wasteful number, since it uses less digits than its factorization.

349774116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 184 counting only the distinct ones).

The product of its digits is 127008, while the sum is 42.

The square root of 349774116 is about 18702.2489556738. The cubic root of 349774116 is about 704.5782337203.

It can be divided in two parts, 34977 and 4116, that added together give a palindrome (39093).

The spelling of 349774116 in words is "three hundred forty-nine million, seven hundred seventy-four thousand, one hundred sixteen".