347908991328 has 144 divisors (see below), whose sum is σ = 1081357070976. Its totient is φ = 105626972160.

The previous prime is 347908991327. The next prime is 347908991329. The reversal of 347908991328 is 823199809743.

It is an interprime number because it is at equal distance from previous prime (347908991327) and next prime (347908991329).

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×347908991328³ (a number of 36 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (347908991321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 994351 + ... + 1297902.

It is an arithmetic number, because the mean of its divisors is an integer number (7509424104).

Almost surely, 2^347908991328 is an apocalyptic number.

It is an amenable number.

347908991328 is an abundant number, since it is smaller than the sum of its proper divisors (733448079648).

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

347908991328 is a wasteful number, since it uses less digits than its factorization.

347908991328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2292317 (or 2292306 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 63.

The spelling of 347908991328 in words is "three hundred forty-seven billion, nine hundred eight million, nine hundred ninety-one thousand, three hundred twenty-eight".