347675446664 has 256 divisors, whose sum is σ = 856010695680. Its totient is φ = 128625868800.

The previous prime is 347675446609. The next prime is 347675446693. The reversal of 347675446664 is 466644576743.

It is a junction number, because it is equal to n+sod(n) for n = 347675446597 and 347675446606.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 355859744 + ... + 355860720.

It is an arithmetic number, because the mean of its divisors is an integer number (3343791780).

Almost surely, 2^347675446664 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 347675446664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428005347840).

347675446664 is an abundant number, since it is smaller than the sum of its proper divisors (508335249016).

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

347675446664 is a wasteful number, since it uses less digits than its factorization.

347675446664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1480 (or 1476 counting only the distinct ones).

The product of its digits is 243855360, while the sum is 62.

The spelling of 347675446664 in words is "three hundred forty-seven billion, six hundred seventy-five million, four hundred forty-six thousand, six hundred sixty-four".