347457309696 has 1232 divisors, whose sum is σ = 1288725696000. Its totient is φ = 93347831808.

The previous prime is 347457309679. The next prime is 347457309761. The reversal of 347457309696 is 696903754743.

347457309696 is a `hidden beast` number, since 3 + 4 + 7 + 457 + 3 + 0 + 96 + 96 = 666.

It is a super-2 number, since 2×347457309696² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 5889106915 + ... + 5889106973.

Almost surely, 2^347457309696 is an apocalyptic number.

347457309696 is a gapful number since it is divisible by the number (36) 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 347457309696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (644362848000).

347457309696 is an abundant number, since it is smaller than the sum of its proper divisors (941268386304).

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

347457309696 is an frugal number, since it uses more digits than its factorization.

347457309696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 102876480, while the sum is 63.

The spelling of 347457309696 in words is "three hundred forty-seven billion, four hundred fifty-seven million, three hundred nine thousand, six hundred ninety-six".