347090243136 has 896 divisors, whose sum is σ = 1210470137856. Its totient is φ = 85341634560.

The previous prime is 347090243107. The next prime is 347090243141. The reversal of 347090243136 is 631342090743.

It is a happy number.

It is a super-3 number, since 3×347090243136³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3071595016 + ... + 3071595128.

It is an arithmetic number, because the mean of its divisors is an integer number (1350971136).

Almost surely, 2^347090243136 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 347090243136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (605235068928).

347090243136 is an abundant number, since it is smaller than the sum of its proper divisors (863379894720).

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

347090243136 is a wasteful number, since it uses less digits than its factorization.

347090243136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 42.

The spelling of 347090243136 in words is "three hundred forty-seven billion, ninety million, two hundred forty-three thousand, one hundred thirty-six".