349405687495296 has 192 divisors, whose sum is σ = 1006150375680840. Its totient is φ = 116387601408000.

The previous prime is 349405687495157. The next prime is 349405687495363. The reversal of 349405687495296 is 692594786504943.

349405687495296 is a `hidden beast` number, since 3 + 4 + 9 + 4 + 0 + 5 + 6 + 87 + 4 + 9 + 529 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 51438157761600 + 297967529733696 = 7172040^2 + 17261736^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19142361306 + ... + 19142379558.

Almost surely, 2^{349405687495296} is an apocalyptic number.

349405687495296 is a gapful number since it is divisible by the number (36) 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 349405687495296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503075187840420).

349405687495296 is an abundant number, since it is smaller than the sum of its proper divisors (656744688185544).

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

349405687495296 is a wasteful number, since it uses less digits than its factorization.

349405687495296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28915 (or 28900 counting only the distinct ones).

The product of its (nonzero) digits is 14108774400, while the sum is 81.

The spelling of 349405687495296 in words is "three hundred forty-nine trillion, four hundred five billion, six hundred eighty-seven million, four hundred ninety-five thousand, two hundred ninety-six".