347554966416672 has 384 divisors, whose sum is σ = 1147806277632000. Its totient is φ = 89783923654656.

The previous prime is 347554966416629. The next prime is 347554966416727. The reversal of 347554966416672 is 276614669455743.

It is a junction number, because it is equal to n+sod(n) for n = 347554966416594 and 347554966416603.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 63292033 + ... + 68563775.

It is an arithmetic number, because the mean of its divisors is an integer number (2989078848000).

Almost surely, 2^{347554966416672} is an apocalyptic number.

347554966416672 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 347554966416672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573903138816000).

347554966416672 is an abundant number, since it is smaller than the sum of its proper divisors (800251311215328).

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

347554966416672 is a wasteful number, since it uses less digits than its factorization.

347554966416672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5272008 (or 5272000 counting only the distinct ones).

The product of its digits is 5486745600, while the sum is 75.

The spelling of 347554966416672 in words is "three hundred forty-seven trillion, five hundred fifty-four billion, nine hundred sixty-six million, four hundred sixteen thousand, six hundred seventy-two".