349776028692 has 144 divisors (see below), whose sum is σ = 939415276800. Its totient is φ = 109425012480.

The previous prime is 349776028681. The next prime is 349776028739. The reversal of 349776028692 is 296820677943.

349776028692 is a `hidden beast` number, since 3 + 497 + 7 + 60 + 2 + 86 + 9 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32199342 + ... + 32210202.

It is an arithmetic number, because the mean of its divisors is an integer number (6523717200).

Almost surely, 2^349776028692 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 349776028692, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469707638400).

349776028692 is an abundant number, since it is smaller than the sum of its proper divisors (589639248108).

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

349776028692 is a wasteful number, since it uses less digits than its factorization.

349776028692 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11326 (or 11321 counting only the distinct ones).

The product of its (nonzero) digits is 54867456, while the sum is 63.

The spelling of 349776028692 in words is "three hundred forty-nine billion, seven hundred seventy-six million, twenty-eight thousand, six hundred ninety-two".