349872768 has 192 divisors, whose sum is σ = 1178548800. Its totient is φ = 97542144.

The previous prime is 349872749. The next prime is 349872781. The reversal of 349872768 is 867278943.

It is a tau number, because it is divible by the number of its divisors (192).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 346248 + ... + 347256.

It is an arithmetic number, because the mean of its divisors is an integer number (6138275).

Almost surely, 2^349872768 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 349872768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (589274400).

349872768 is an abundant number, since it is smaller than the sum of its proper divisors (828676032).

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

349872768 is a wasteful number, since it uses less digits than its factorization.

349872768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1079 (or 1064 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 54.

The square root of 349872768 is about 18704.8862065504. The cubic root of 349872768 is about 704.6444683890.

The spelling of 349872768 in words is "three hundred forty-nine million, eight hundred seventy-two thousand, seven hundred sixty-eight".