349649352 has 128 divisors (see below), whose sum is σ = 1052352000. Its totient is φ = 106928640.

The previous prime is 349649351. The next prime is 349649359. The reversal of 349649352 is 253946943.

It is a junction number, because it is equal to n+sod(n) for n = 349649298 and 349649307.

It is not an unprimeable number, because it can be changed into a prime (349649351) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 670852 + ... + 671372.

It is an arithmetic number, because the mean of its divisors is an integer number (8221500).

Almost surely, 2^349649352 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 349649352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526176000).

349649352 is an abundant number, since it is smaller than the sum of its proper divisors (702702648).

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

349649352 is a wasteful number, since it uses less digits than its factorization.

349649352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 788 (or 778 counting only the distinct ones).

The product of its digits is 699840, while the sum is 45.

The square root of 349649352 is about 18698.9131234946. The cubic root of 349649352 is about 704.4944496924.

The spelling of 349649352 in words is "three hundred forty-nine million, six hundred forty-nine thousand, three hundred fifty-two".