3579920 has 40 divisors (see below), whose sum is σ = 8451096. Its totient is φ = 1410048.

The previous prime is 3579893. The next prime is 3579931. The reversal of 3579920 is 299753.

It can be written as a sum of positive squares in 4 ways, for example, as 256 + 3579664 = 16^2 + 1892^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5534 + ... + 6146.

Almost surely, 2^3579920 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 3579920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4225548).

3579920 is an abundant number, since it is smaller than the sum of its proper divisors (4871176).

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

3579920 is a wasteful number, since it uses less digits than its factorization.

3579920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 699 (or 693 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 35.

The square root of 3579920 is about 1892.0676520674. The cubic root of 3579920 is about 152.9764014467.

The spelling of 3579920 in words is "three million, five hundred seventy-nine thousand, nine hundred twenty".