3579520 has 128 divisors (see below), whose sum is σ = 10575360. Its totient is φ = 1130496.

The previous prime is 3579509. The next prime is 3579523. The reversal of 3579520 is 259753.

3579520 = 111² + 112² + ... + 229².

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (3579523) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76137 + ... + 76183.

It is an arithmetic number, because the mean of its divisors is an integer number (82620).

Almost surely, 2^3579520 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 3579520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5287680).

3579520 is an abundant number, since it is smaller than the sum of its proper divisors (6995840).

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

3579520 is a wasteful number, since it uses less digits than its factorization.

3579520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 9450, while the sum is 31.

The square root of 3579520 is about 1891.9619446490. The cubic root of 3579520 is about 152.9707036621.

The spelling of 3579520 in words is "three million, five hundred seventy-nine thousand, five hundred twenty".