347330137431672 has 256 divisors, whose sum is σ = 981163943424000. Its totient is φ = 113827758395904.

The previous prime is 347330137431637. The next prime is 347330137431793. The reversal of 347330137431672 is 276134731033743.

347330137431672 is a `hidden beast` number, since 3 + 4 + 7 + 3 + 3 + 0 + 137 + 431 + 6 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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, 9060845818 + ... + 9060884150.

It is an arithmetic number, because the mean of its divisors is an integer number (3832671654000).

Almost surely, 2^{347330137431672} 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 347330137431672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490581971712000).

347330137431672 is an abundant number, since it is smaller than the sum of its proper divisors (633833805992328).

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

347330137431672 is a wasteful number, since it uses less digits than its factorization.

347330137431672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40867 (or 40857 counting only the distinct ones).

The product of its (nonzero) digits is 16003008, while the sum is 54.

The spelling of 347330137431672 in words is "three hundred forty-seven trillion, three hundred thirty billion, one hundred thirty-seven million, four hundred thirty-one thousand, six hundred seventy-two".