349973448768 has 112 divisors (see below), whose sum is σ = 1032494109760. Its totient is φ = 116245435392.

The previous prime is 349973448761. The next prime is 349973448793. The reversal of 349973448768 is 867844379943.

It is a happy number.

349973448768 is a `hidden beast` number, since 3 + 49 + 9 + 73 + 448 + 76 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 349973448696 and 349973448705.

It is not an unprimeable number, because it can be changed into a prime (349973448761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 131196 + ... + 846852.

Almost surely, 2^349973448768 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 349973448768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516247054880).

349973448768 is an abundant number, since it is smaller than the sum of its proper divisors (682520660992).

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

349973448768 is a wasteful number, since it uses less digits than its factorization.

349973448768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 715961 (or 715945 counting only the distinct ones).

The product of its digits is 877879296, while the sum is 72.

The spelling of 349973448768 in words is "three hundred forty-nine billion, nine hundred seventy-three million, four hundred forty-eight thousand, seven hundred sixty-eight".