4105349328 has 80 divisors (see below), whose sum is σ = 10846180800. Its totient is φ = 1337656320.

The previous prime is 4105349231. The next prime is 4105349377. The reversal of 4105349328 is 8239435014.

It is a Cunningham number, because it is equal to 64073²-1.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 508588 + ... + 516596.

It is an arithmetic number, because the mean of its divisors is an integer number (135577260).

Almost surely, 2^4105349328 is an apocalyptic number.

4105349328 is a gapful number since it is divisible by the number (48) 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 4105349328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5423090400).

4105349328 is an abundant number, since it is smaller than the sum of its proper divisors (6740831472).

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

4105349328 is a wasteful number, since it uses less digits than its factorization.

4105349328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8260 (or 8254 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The square root of 4105349328 is about 64072.9999921964. Note that the first 5 decimals coincide. The cubic root of 4105349328 is about 1601.2164353604.

The spelling of 4105349328 in words is "four billion, one hundred five million, three hundred forty-nine thousand, three hundred twenty-eight".