349739520 has 320 divisors, whose sum is σ = 1253919744. Its totient is φ = 82575360.

The previous prime is 349739513. The next prime is 349739561. The reversal of 349739520 is 25937943.

349739520 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (320).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3094984 + ... + 3095096.

Almost surely, 2^349739520 is an apocalyptic number.

349739520 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 349739520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (626959872).

349739520 is an abundant number, since it is smaller than the sum of its proper divisors (904180224).

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

349739520 is a wasteful number, since it uses less digits than its factorization.

349739520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 42.

The square root of 349739520 is about 18701.3240172989. The cubic root of 349739520 is about 704.5550031159. Note that the first 3 decimals are identical.

The spelling of 349739520 in words is "three hundred forty-nine million, seven hundred thirty-nine thousand, five hundred twenty".