349835544 has 128 divisors (see below), whose sum is σ = 1001952000. Its totient is φ = 113052672.

The previous prime is 349835501. The next prime is 349835557. The reversal of 349835544 is 445538943.

349835544 is a `hidden beast` number, since 3 + 4 + 98 + 3 + 554 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 349835544.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 1236027 + ... + 1236309.

It is an arithmetic number, because the mean of its divisors is an integer number (7827750).

Almost surely, 2^349835544 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 349835544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500976000).

349835544 is an abundant number, since it is smaller than the sum of its proper divisors (652116456).

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

349835544 is a wasteful number, since it uses less digits than its factorization.

349835544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454 (or 444 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 45.

The square root of 349835544 is about 18703.8911459621. The cubic root of 349835544 is about 704.6194777654.

The spelling of 349835544 in words is "three hundred forty-nine million, eight hundred thirty-five thousand, five hundred forty-four".