346093809696 has 48 divisors (see below), whose sum is σ = 1009440280800. Its totient is φ = 115364602944.

The previous prime is 346093809653. The next prime is 346093809703. The reversal of 346093809696 is 696908390643.

346093809696 is a `hidden beast` number, since 3 + 460 + 9 + 3 + 80 + 9 + 6 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×346093809696² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 200284906 + ... + 200286633.

It is an arithmetic number, because the mean of its divisors is an integer number (21030005850).

Almost surely, 2^346093809696 is an apocalyptic number.

346093809696 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

346093809696 is an abundant number, since it is smaller than the sum of its proper divisors (663346471104).

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

346093809696 is a wasteful number, since it uses less digits than its factorization.

346093809696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400571558 (or 400571544 counting only the distinct ones).

The product of its (nonzero) digits is 45349632, while the sum is 63.

The spelling of 346093809696 in words is "three hundred forty-six billion, ninety-three million, eight hundred nine thousand, six hundred ninety-six".