349360391435328 has 1344 divisors, whose sum is σ = 1346725989539840. Its totient is φ = 87202384109568.

The previous prime is 349360391435323. The next prime is 349360391435381. The reversal of 349360391435328 is 823534193063943.

349360391435328 is a `hidden beast` number, since 3 + 4 + 9 + 3 + 6 + 0 + 3 + 91 + 4 + 3 + 532 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (349360391435323) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 29390117001 + ... + 29390128887.

Almost surely, 2^{349360391435328} is an apocalyptic number.

349360391435328 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 349360391435328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (673362994769920).

349360391435328 is an abundant number, since it is smaller than the sum of its proper divisors (997365598104512).

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

349360391435328 is a wasteful number, since it uses less digits than its factorization.

349360391435328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13046 (or 13024 counting only the distinct ones).

The product of its (nonzero) digits is 151165440, while the sum is 63.

The spelling of 349360391435328 in words is "three hundred forty-nine trillion, three hundred sixty billion, three hundred ninety-one million, four hundred thirty-five thousand, three hundred twenty-eight".