347320134672 has 640 divisors, whose sum is σ = 1169829888000. Its totient is φ = 86533816320.

The previous prime is 347320134631. The next prime is 347320134709. The reversal of 347320134672 is 276431023743.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 418962354 + ... + 418963182.

It is an arithmetic number, because the mean of its divisors is an integer number (1827859200).

Almost surely, 2^347320134672 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 347320134672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (584914944000).

347320134672 is an abundant number, since it is smaller than the sum of its proper divisors (822509753328).

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

347320134672 is a wasteful number, since it uses less digits than its factorization.

347320134672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 999 (or 993 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 42.

The spelling of 347320134672 in words is "three hundred forty-seven billion, three hundred twenty million, one hundred thirty-four thousand, six hundred seventy-two".