349908075756288 has 864 divisors, whose sum is σ = 1270333219276800. Its totient is φ = 93035373133824.

The previous prime is 349908075756241. The next prime is 349908075756331. The reversal of 349908075756288 is 882657570809943.

349908075756288 is a `hidden beast` number, since 3 + 49 + 9 + 0 + 8 + 0 + 7 + 5 + 7 + 562 + 8 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-3 number, since 3×349908075756288³ (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1244344281 + ... + 1244625447.

Almost surely, 2^{349908075756288} 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 349908075756288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (635166609638400).

349908075756288 is an abundant number, since it is smaller than the sum of its proper divisors (920425143520512).

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

349908075756288 is a wasteful number, since it uses less digits than its factorization.

349908075756288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281322 (or 281285 counting only the distinct ones).

The product of its (nonzero) digits is 7315660800, while the sum is 81.

The spelling of 349908075756288 in words is "three hundred forty-nine trillion, nine hundred eight billion, seventy-five million, seven hundred fifty-six thousand, two hundred eighty-eight".