349737248 has 96 divisors (see below), whose sum is σ = 813214080. Its totient is φ = 144967680.

The previous prime is 349737239. The next prime is 349737251. The reversal of 349737248 is 842737943.

349737248 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×349737248³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1056443 + ... + 1056773.

It is an arithmetic number, because the mean of its divisors is an integer number (8470980).

Almost surely, 2^349737248 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 349737248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406607040).

349737248 is an abundant number, since it is smaller than the sum of its proper divisors (463476832).

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

349737248 is a wasteful number, since it uses less digits than its factorization.

349737248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490 (or 482 counting only the distinct ones).

The product of its digits is 1016064, while the sum is 47.

The square root of 349737248 is about 18701.2632728380. The cubic root of 349737248 is about 704.5534774544.

The spelling of 349737248 in words is "three hundred forty-nine million, seven hundred thirty-seven thousand, two hundred forty-eight".