349217760 has 96 divisors (see below), whose sum is σ = 1115638272. Its totient is φ = 91804160.

The previous prime is 349217747. The next prime is 349217761. The reversal of 349217760 is 67712943.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349217761) 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, 28957 + ... + 39203.

It is an arithmetic number, because the mean of its divisors is an integer number (11621232).

Almost surely, 2^349217760 is an apocalyptic number.

349217760 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 349217760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557819136).

349217760 is an abundant number, since it is smaller than the sum of its proper divisors (766420512).

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

349217760 is a wasteful number, since it uses less digits than its factorization.

349217760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10336 (or 10328 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 39.

The square root of 349217760 is about 18687.3689961963. The cubic root of 349217760 is about 704.2044645436.

The spelling of 349217760 in words is "three hundred forty-nine million, two hundred seventeen thousand, seven hundred sixty".