348611677344 has 72 divisors (see below), whose sum is σ = 1132987957920. Its totient is φ = 99603335808.

The previous prime is 348611677303. The next prime is 348611677409. The reversal of 348611677344 is 443776116843.

It is a happy number.

348611677344 is a `hidden beast` number, since 3 + 486 + 116 + 7 + 7 + 3 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a nude number because it is divisible by every one of its digits.

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 11 ways as a sum of consecutive naturals, for example, 86459214 + ... + 86463245.

It is an arithmetic number, because the mean of its divisors is an integer number (15735943860).

Almost surely, 2^348611677344 is an apocalyptic number.

It is an amenable number.

348611677344 is an abundant number, since it is smaller than the sum of its proper divisors (784376280576).

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

348611677344 is a wasteful number, since it uses less digits than its factorization.

348611677344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172922482 (or 172922471 counting only the distinct ones).

The product of its digits is 8128512, while the sum is 54.

The spelling of 348611677344 in words is "three hundred forty-eight billion, six hundred eleven million, six hundred seventy-seven thousand, three hundred forty-four".