349266144 has 48 divisors (see below), whose sum is σ = 917941248. Its totient is φ = 116280192.

The previous prime is 349266121. The next prime is 349266149. The reversal of 349266144 is 441662943.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349266149) 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, 102679 + ... + 106025.

It is an arithmetic number, because the mean of its divisors is an integer number (19123776).

Almost surely, 2^349266144 is an apocalyptic number.

It is an amenable number.

349266144 is an abundant number, since it is smaller than the sum of its proper divisors (568675104).

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

349266144 is a wasteful number, since it uses less digits than its factorization.

349266144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4447 (or 4439 counting only the distinct ones).

The product of its digits is 124416, while the sum is 39.

The square root of 349266144 is about 18688.6635156182. The cubic root of 349266144 is about 704.2369854701.

The spelling of 349266144 in words is "three hundred forty-nine million, two hundred sixty-six thousand, one hundred forty-four".