4107679344 has 80 divisors (see below), whose sum is σ = 11832576000. Its totient is φ = 1364347584.

The previous prime is 4107679333. The next prime is 4107679403. The reversal of 4107679344 is 4439767014.

It is a self number, because there is not a number n which added to its sum of digits gives 4107679344.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 105457 + ... + 139055.

It is an arithmetic number, because the mean of its divisors is an integer number (147907200).

Almost surely, 2^4107679344 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 4107679344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5916288000).

4107679344 is an abundant number, since it is smaller than the sum of its proper divisors (7724896656).

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

4107679344 is a wasteful number, since it uses less digits than its factorization.

4107679344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33899 (or 33887 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The square root of 4107679344 is about 64091.1799236057. The cubic root of 4107679344 is about 1601.5193047806.

The spelling of 4107679344 in words is "four billion, one hundred seven million, six hundred seventy-nine thousand, three hundred forty-four".