349820544 has 64 divisors (see below), whose sum is σ = 931170240. Its totient is φ = 116361216.

The previous prime is 349820521. The next prime is 349820633. The reversal of 349820544 is 445028943.

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

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 7 ways as a sum of consecutive naturals, for example, 328557 + ... + 329619.

It is an arithmetic number, because the mean of its divisors is an integer number (14549535).

Almost surely, 2^349820544 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 349820544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465585120).

349820544 is an abundant number, since it is smaller than the sum of its proper divisors (581349696).

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

349820544 is a wasteful number, since it uses less digits than its factorization.

349820544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1937 (or 1925 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The square root of 349820544 is about 18703.4901555833. The cubic root of 349820544 is about 704.6094068970.

It can be divided in two parts, 3498 and 20544, that added together give a palindrome (24042).

The spelling of 349820544 in words is "three hundred forty-nine million, eight hundred twenty thousand, five hundred forty-four".