349649947008 has 192 divisors, whose sum is σ = 1031707666080. Its totient is φ = 113595555840.

The previous prime is 349649946829. The next prime is 349649947021. The reversal of 349649947008 is 800749946943.

349649947008 is a `hidden beast` number, since 34 + 96 + 49 + 9 + 470 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57761710 + ... + 57767762.

Almost surely, 2^349649947008 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 349649947008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515853833040).

349649947008 is an abundant number, since it is smaller than the sum of its proper divisors (682057719072).

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

349649947008 is a wasteful number, since it uses less digits than its factorization.

349649947008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7337 (or 7322 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 63.

The spelling of 349649947008 in words is "three hundred forty-nine billion, six hundred forty-nine million, nine hundred forty-seven thousand, eight".