348614000644 has 192 divisors, whose sum is σ = 809672048640. Its totient is φ = 127598768640.

The previous prime is 348614000639. The next prime is 348614000659. The reversal of 348614000644 is 446000416843.

It is a junction number, because it is equal to n+sod(n) for n = 348614000597 and 348614000606.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 33700137 + ... + 33710479.

It is an arithmetic number, because the mean of its divisors is an integer number (4217041920).

Almost surely, 2^348614000644 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 348614000644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404836024320).

348614000644 is an abundant number, since it is smaller than the sum of its proper divisors (461058047996).

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

348614000644 is a wasteful number, since it uses less digits than its factorization.

348614000644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10530 (or 10528 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 40.

The spelling of 348614000644 in words is "three hundred forty-eight billion, six hundred fourteen million, six hundred forty-four", and thus it is an aban number.