349219815168 has 576 divisors, whose sum is σ = 1194297753600. Its totient is φ = 88298864640.

The previous prime is 349219815163. The next prime is 349219815223. The reversal of 349219815168 is 861518912943.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349219815163) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 91825555 + ... + 91829357.

It is an arithmetic number, because the mean of its divisors is an integer number (2073433600).

Almost surely, 2^349219815168 is an apocalyptic number.

349219815168 is a gapful number since it is divisible by the number (38) 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 349219815168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (597148876800).

349219815168 is an abundant number, since it is smaller than the sum of its proper divisors (845077938432).

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

349219815168 is a wasteful number, since it uses less digits than its factorization.

349219815168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3908 (or 3894 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 57.

The spelling of 349219815168 in words is "three hundred forty-nine billion, two hundred nineteen million, eight hundred fifteen thousand, one hundred sixty-eight".