349266436082928 has 1440 divisors, whose sum is σ = 1264242923274240. Its totient is φ = 89180448215040.

The previous prime is 349266436082881. The next prime is 349266436083031. The reversal of 349266436082928 is 829280634662943.

349266436082928 is a `hidden beast` number, since 3 + 4 + 9 + 2 + 6 + 6 + 4 + 3 + 608 + 2 + 9 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 169300258825 + ... + 169300260887.

It is an arithmetic number, because the mean of its divisors is an integer number (877946474496).

Almost surely, 2^{349266436082928} 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 349266436082928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632121461637120).

349266436082928 is an abundant number, since it is smaller than the sum of its proper divisors (914976487191312).

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

349266436082928 is a wasteful number, since it uses less digits than its factorization.

349266436082928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2627 (or 2611 counting only the distinct ones).

The product of its (nonzero) digits is 1289945088, while the sum is 72.

The spelling of 349266436082928 in words is "three hundred forty-nine trillion, two hundred sixty-six billion, four hundred thirty-six million, eighty-two thousand, nine hundred twenty-eight".