349269091826688 has 1056 divisors, whose sum is σ = 1171221078343680. Its totient is φ = 99137654784000.

The previous prime is 349269091826657. The next prime is 349269091826771. The reversal of 349269091826688 is 886628190962943.

349269091826688 is a `hidden beast` number, since 3 + 4 + 9 + 269 + 0 + 9 + 18 + 266 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a super-3 number, since 3×349269091826688³ (a number of 45 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 76076907273 + ... + 76076911863.

Almost surely, 2^{349269091826688} is an apocalyptic number.

349269091826688 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 349269091826688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (585610539171840).

349269091826688 is an abundant number, since it is smaller than the sum of its proper divisors (821951986516992).

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

349269091826688 is a wasteful number, since it uses less digits than its factorization.

349269091826688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5085 (or 5064 counting only the distinct ones).

The product of its (nonzero) digits is 3869835264, while the sum is 81.

The spelling of 349269091826688 in words is "three hundred forty-nine trillion, two hundred sixty-nine billion, ninety-one million, eight hundred twenty-six thousand, six hundred eighty-eight".