348542906055890 has 256 divisors, whose sum is σ = 808121316409344. Its totient is φ = 105269484902400.

The previous prime is 348542906055871. The next prime is 348542906055893. The reversal of 348542906055890 is 98550609245843.

It is a happy number.

It is a super-3 number, since 3×348542906055890³ (a number of 45 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (68) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a self number, because there is not a number n which added to its sum of digits gives 348542906055890.

It is not an unprimeable number, because it can be changed into a prime (348542906055893) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 16867961699 + ... + 16867982361.

It is an arithmetic number, because the mean of its divisors is an integer number (3156723892224).

Almost surely, 2^{348542906055890} is an apocalyptic number.

348542906055890 is an abundant number, since it is smaller than the sum of its proper divisors (459578410353454).

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

348542906055890 is a wasteful number, since it uses less digits than its factorization.

348542906055890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28985.

The product of its (nonzero) digits is 373248000, while the sum is 68.

The spelling of 348542906055890 in words is "three hundred forty-eight trillion, five hundred forty-two billion, nine hundred six million, fifty-five thousand, eight hundred ninety".