349088544 has 216 divisors, whose sum is σ = 1196018460. Its totient is φ = 96187392.

The previous prime is 349088533. The next prime is 349088561. The reversal of 349088544 is 445880943.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 326163600 + 22924944 = 18060^2 + 4788^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 349088544.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 408822 + ... + 409674.

Almost surely, 2^349088544 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 349088544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (598009230).

349088544 is an abundant number, since it is smaller than the sum of its proper divisors (846929916).

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

349088544 is a wasteful number, since it uses less digits than its factorization.

349088544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 912 (or 894 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 349088544 is about 18683.9113678052. The cubic root of 349088544 is about 704.1175982957.

The spelling of 349088544 in words is "three hundred forty-nine million, eighty-eight thousand, five hundred forty-four".