349654516950006 has 48 divisors (see below), whose sum is σ = 762227320681008. Its totient is φ = 115838042241600.

The previous prime is 349654516949989. The next prime is 349654516950031. The reversal of 349654516950006 is 600059615456943.

349654516950006 is a `hidden beast` number, since 3 + 4 + 9 + 65 + 4 + 5 + 1 + 69 + 500 + 0 + 6 = 666.

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, 26759025 + ... + 37621196.

It is an arithmetic number, because the mean of its divisors is an integer number (15879735847521).

Almost surely, 2^{349654516950006} is an apocalyptic number.

349654516950006 is an abundant number, since it is smaller than the sum of its proper divisors (412572803731002).

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

349654516950006 is a wasteful number, since it uses less digits than its factorization.

349654516950006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64382077 (or 64382074 counting only the distinct ones).

The product of its (nonzero) digits is 104976000, while the sum is 63.

The spelling of 349654516950006 in words is "three hundred forty-nine trillion, six hundred fifty-four billion, five hundred sixteen million, nine hundred fifty thousand, six".