347309340672 has 576 divisors, whose sum is σ = 1156244544000. Its totient is φ = 92104556544.

The previous prime is 347309340659. The next prime is 347309340683. The reversal of 347309340672 is 276043903743.

It is a super-3 number, since 3×347309340672³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 404317779 + ... + 404318637.

It is an arithmetic number, because the mean of its divisors is an integer number (2007369000).

Almost surely, 2^347309340672 is an apocalyptic number.

347309340672 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 347309340672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (578122272000).

347309340672 is an abundant number, since it is smaller than the sum of its proper divisors (808935203328).

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

347309340672 is a wasteful number, since it uses less digits than its factorization.

347309340672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 994 (or 967 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 48.

The spelling of 347309340672 in words is "three hundred forty-seven billion, three hundred nine million, three hundred forty thousand, six hundred seventy-two".