349059943404 has 192 divisors, whose sum is σ = 935446579200. Its totient is φ = 112507439616.

The previous prime is 349059943403. The next prime is 349059943447. The reversal of 349059943404 is 404349950943.

349059943404 is a `hidden beast` number, since 3 + 4 + 9 + 0 + 599 + 4 + 3 + 40 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (349059943403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 186962079 + ... + 186963945.

It is an arithmetic number, because the mean of its divisors is an integer number (4872117600).

Almost surely, 2^349059943404 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 349059943404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467723289600).

349059943404 is an abundant number, since it is smaller than the sum of its proper divisors (586386635796).

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

349059943404 is a wasteful number, since it uses less digits than its factorization.

349059943404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2389 (or 2381 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 54.

The spelling of 349059943404 in words is "three hundred forty-nine billion, fifty-nine million, nine hundred forty-three thousand, four hundred four".