349620118848 has 1344 divisors, whose sum is σ = 1453692344832. Its totient is φ = 77290536960.

The previous prime is 349620118801. The next prime is 349620118849. The reversal of 349620118848 is 848811026943.

It is a happy number.

349620118848 is a `hidden beast` number, since 3 + 4 + 9 + 620 + 1 + 1 + 8 + 8 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a junction number, because it is equal to n+sod(n) for n = 349620118794 and 349620118803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349620118849) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 519494640 + ... + 519495312.

It is an arithmetic number, because the mean of its divisors is an integer number (1081616328).

Almost surely, 2^349620118848 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 349620118848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (726846172416).

349620118848 is an abundant number, since it is smaller than the sum of its proper divisors (1104072225984).

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

349620118848 is a wasteful number, since it uses less digits than its factorization.

349620118848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 792 (or 779 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 349620118848 in words is "three hundred forty-nine billion, six hundred twenty million, one hundred eighteen thousand, eight hundred forty-eight".