349086848 has 64 divisors (see below), whose sum is σ = 798660000. Its totient is φ = 150312960.

The previous prime is 349086841. The next prime is 349086851. The reversal of 349086848 is 848680943.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 349086796 and 349086805.

It is not an unprimeable number, because it can be changed into a prime (349086841) 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 7 ways as a sum of consecutive naturals, for example, 20228 + ... + 33276.

Almost surely, 2^349086848 is an apocalyptic number.

349086848 is a gapful number since it is divisible by the number (38) 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 349086848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399330000).

349086848 is an abundant number, since it is smaller than the sum of its proper divisors (449573152).

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

349086848 is a wasteful number, since it uses less digits than its factorization.

349086848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13093 (or 13081 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 50.

The square root of 349086848 is about 18683.8659811079. The cubic root of 349086848 is about 704.1164580068.

The spelling of 349086848 in words is "three hundred forty-nine million, eighty-six thousand, eight hundred forty-eight".