349441287680592 has 320 divisors, whose sum is σ = 1035032348689920. Its totient is φ = 112807302451200.

The previous prime is 349441287680557. The next prime is 349441287680599. The reversal of 349441287680592 is 295086782144943.

349441287680592 is a `hidden beast` number, since 3 + 4 + 9 + 4 + 4 + 1 + 28 + 7 + 6 + 8 + 0 + 592 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 349441287680592.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349441287680599) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1982433742 + ... + 1982610002.

It is an arithmetic number, because the mean of its divisors is an integer number (3234476089656).

It is a 1-persistent number, because it is pandigital, but 2⋅349441287680592 = 698882575361184 is not.

Almost surely, 2^{349441287680592} 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 349441287680592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517516174344960).

349441287680592 is an abundant number, since it is smaller than the sum of its proper divisors (685591061009328).

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

349441287680592 is a wasteful number, since it uses less digits than its factorization.

349441287680592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177139 (or 177127 counting only the distinct ones).

The product of its (nonzero) digits is 836075520, while the sum is 72.

The spelling of 349441287680592 in words is "three hundred forty-nine trillion, four hundred forty-one billion, two hundred eighty-seven million, six hundred eighty thousand, five hundred ninety-two".