349440564 has 48 divisors (see below), whose sum is σ = 928166400. Its totient is φ = 101286240.

The previous prime is 349440551. The next prime is 349440569. The reversal of 349440564 is 465044943.

It is a super-3 number, since 3×349440564³ (a number of 27 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349440569) 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 15 ways as a sum of consecutive naturals, for example, 54514 + ... + 60585.

It is an arithmetic number, because the mean of its divisors is an integer number (19336800).

Almost surely, 2^349440564 is an apocalyptic number.

It is an amenable number.

349440564 is an abundant number, since it is smaller than the sum of its proper divisors (578725836).

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

349440564 is a wasteful number, since it uses less digits than its factorization.

349440564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115140 (or 115138 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 39.

The square root of 349440564 is about 18693.3293984780. The cubic root of 349440564 is about 704.3541955840.

The spelling of 349440564 in words is "three hundred forty-nine million, four hundred forty thousand, five hundred sixty-four".