349753248 has 96 divisors (see below), whose sum is σ = 1098619200. Its totient is φ = 107612928.

The previous prime is 349753241. The next prime is 349753259. The reversal of 349753248 is 842357943.

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

It is not an unprimeable number, because it can be changed into a prime (349753241) 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, 4338 + ... + 26801.

It is an arithmetic number, because the mean of its divisors is an integer number (11443950).

Almost surely, 2^349753248 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 349753248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (549309600).

349753248 is an abundant number, since it is smaller than the sum of its proper divisors (748865952).

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

349753248 is a wasteful number, since it uses less digits than its factorization.

349753248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31171 (or 31157 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The square root of 349753248 is about 18701.6910465337. The cubic root of 349753248 is about 704.5642214094.

The spelling of 349753248 in words is "three hundred forty-nine million, seven hundred fifty-three thousand, two hundred forty-eight".