349686144 has 48 divisors (see below), whose sum is σ = 1006261620. Its totient is φ = 116561664.

The previous prime is 349686137. The next prime is 349686151. The reversal of 349686144 is 441686943.

It is an interprime number because it is at equal distance from previous prime (349686137) and next prime (349686151).

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 349686144.

It is a congruent number.

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 5 ways as a sum of consecutive naturals, for example, 150622 + ... + 152925.

Almost surely, 2^349686144 is an apocalyptic number.

It is an amenable number.

349686144 is an abundant number, since it is smaller than the sum of its proper divisors (656575476).

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

349686144 is a wasteful number, since it uses less digits than its factorization.

349686144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303567 (or 303552 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 349686144 is about 18699.8968981115. The cubic root of 349686144 is about 704.5191590673.

The spelling of 349686144 in words is "three hundred forty-nine million, six hundred eighty-six thousand, one hundred forty-four".