3579648 has 72 divisors (see below), whose sum is σ = 9811200. Its totient is φ = 1158144.

The previous prime is 3579647. The next prime is 3579649. The reversal of 3579648 is 8469753.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3579647) and next prime (3579649).

It is a d-powerful number, because it can be written as 3 + 5⁷ + 7⁵ + 9⁵ + 6⁷ + 4¹⁰ + 8⁷ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3579647) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45273 + ... + 45351.

Almost surely, 2^3579648 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 3579648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4905600).

3579648 is an abundant number, since it is smaller than the sum of its proper divisors (6231552).

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

3579648 is an equidigital number, since it uses as much as digits as its factorization.

3579648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 143 counting only the distinct ones).

The product of its digits is 181440, while the sum is 42.

The square root of 3579648 is about 1891.9957716655. The cubic root of 3579648 is about 152.9725269993.

The spelling of 3579648 in words is "three million, five hundred seventy-nine thousand, six hundred forty-eight".