349906960 has 80 divisors (see below), whose sum is σ = 879162480. Its totient is φ = 128747520.

The previous prime is 349906943. The next prime is 349906961. The reversal of 349906960 is 69609943.

It can be written as a sum of positive squares in 8 ways, for example, as 1263376 + 348643584 = 1124^2 + 18672^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 349906960.

It is not an unprimeable number, because it can be changed into a prime (349906961) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 529030 + ... + 529690.

It is an arithmetic number, because the mean of its divisors is an integer number (10989531).

Almost surely, 2^349906960 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 349906960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439581240).

349906960 is an abundant number, since it is smaller than the sum of its proper divisors (529255520).

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

349906960 is a wasteful number, since it uses less digits than its factorization.

349906960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1196 (or 1190 counting only the distinct ones).

The product of its (nonzero) digits is 314928, while the sum is 46.

The square root of 349906960 is about 18705.8001700007. The cubic root of 349906960 is about 704.6674218939.

The spelling of 349906960 in words is "three hundred forty-nine million, nine hundred six thousand, nine hundred sixty".