349950520 has 64 divisors (see below), whose sum is σ = 837241920. Its totient is φ = 131349504.

The previous prime is 349950499. The next prime is 349950521. The reversal of 349950520 is 25059943.

It is a self number, because there is not a number n which added to its sum of digits gives 349950520.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349950521) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45172 + ... + 52348.

It is an arithmetic number, because the mean of its divisors is an integer number (13081905).

Almost surely, 2^349950520 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 349950520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418620960).

349950520 is an abundant number, since it is smaller than the sum of its proper divisors (487291400).

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

349950520 is a wasteful number, since it uses less digits than its factorization.

349950520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7264 (or 7260 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 37.

The square root of 349950520 is about 18706.9644785037. The cubic root of 349950520 is about 704.6966620851.

The spelling of 349950520 in words is "three hundred forty-nine million, nine hundred fifty thousand, five hundred twenty".