3579975168 has 160 divisors (see below), whose sum is σ = 11891024640. Its totient is φ = 929832960.

The previous prime is 3579975131. The next prime is 3579975197. The reversal of 3579975168 is 8615799753.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 103138 + ... + 133406.

It is an arithmetic number, because the mean of its divisors is an integer number (74318904).

Almost surely, 2^3579975168 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 3579975168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5945512320).

3579975168 is an abundant number, since it is smaller than the sum of its proper divisors (8311049472).

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

3579975168 is a wasteful number, since it uses less digits than its factorization.

3579975168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30308 (or 30292 counting only the distinct ones).

The product of its digits is 14288400, while the sum is 60.

The square root of 3579975168 is about 59832.8936956922. The cubic root of 3579975168 is about 1529.7718725189.

The spelling of 3579975168 in words is "three billion, five hundred seventy-nine million, nine hundred seventy-five thousand, one hundred sixty-eight".