349088256 has 240 divisors, whose sum is σ = 1126052928. Its totient is φ = 103219200.

The previous prime is 349088239. The next prime is 349088347. The reversal of 349088256 is 652880943.

It is a super-2 number, since 2×349088256² = 243725220954243072, which contains 22 as substring.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 3598800 + ... + 3598896.

Almost surely, 2^349088256 is an apocalyptic number.

349088256 is a gapful number since it is divisible by the number (36) 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 349088256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563026464).

349088256 is an abundant number, since it is smaller than the sum of its proper divisors (776964672).

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

349088256 is a wasteful number, since it uses less digits than its factorization.

349088256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 349088256 is about 18683.9036606379. The cubic root of 349088256 is about 704.1174046620.

The spelling of 349088256 in words is "three hundred forty-nine million, eighty-eight thousand, two hundred fifty-six".