3875579424 has 144 divisors (see below), whose sum is σ = 11224204992. Its totient is φ = 1268273664.

The previous prime is 3875579413. The next prime is 3875579453. The reversal of 3875579424 is 4249755783.

It is a happy number.

3875579424 is a `hidden beast` number, since 3 + 87 + 557 + 9 + 4 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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, 4708677 + ... + 4709499.

It is an arithmetic number, because the mean of its divisors is an integer number (77945868).

Almost surely, 2^3875579424 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 3875579424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5612102496).

3875579424 is an abundant number, since it is smaller than the sum of its proper divisors (7348625568).

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

3875579424 is a wasteful number, since it uses less digits than its factorization.

3875579424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1119 (or 1108 counting only the distinct ones).

The product of its digits is 8467200, while the sum is 54.

The square root of 3875579424 is about 62254.1518615425. The cubic root of 3875579424 is about 1570.7686100936.

The spelling of 3875579424 in words is "three billion, eight hundred seventy-five million, five hundred seventy-nine thousand, four hundred twenty-four".