349033712 has 40 divisors (see below), whose sum is σ = 699955200. Its totient is φ = 168431040.

The previous prime is 349033669. The next prime is 349033723. The reversal of 349033712 is 217330943.

It is a super-2 number, since 2×349033712² = 243649064224997888, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 248789 + ... + 250187.

It is an arithmetic number, because the mean of its divisors is an integer number (17498880).

Almost surely, 2^349033712 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 349033712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349977600).

349033712 is an abundant number, since it is smaller than the sum of its proper divisors (350921488).

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

349033712 is a wasteful number, since it uses less digits than its factorization.

349033712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1941 (or 1935 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 32.

The square root of 349033712 is about 18682.4439514749. The cubic root of 349033712 is about 704.0807306696.

The spelling of 349033712 in words is "three hundred forty-nine million, thirty-three thousand, seven hundred twelve".