3579664 has 45 divisors (see below), whose sum is σ = 7804839. Its totient is φ = 1589280.

The previous prime is 3579649. The next prime is 3579679. The reversal of 3579664 is 4669753.

The square root of 3579664 is 1892.

It is a perfect power (a square), and thus also a powerful number.

3579664 is nontrivially palindromic in base 7.

3579664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3579649) and next prime (3579679).

It is a Duffinian number.

Its product of digits (136080) is a multiple of the sum of its prime divisors (56).

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 8 ways as a sum of consecutive naturals, for example, 83227 + ... + 83269.

Almost surely, 2^3579664 is an apocalyptic number.

3579664 is the 1892-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3579664

3579664 is an abundant number, since it is smaller than the sum of its proper divisors (4225175).

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

3579664 is a wasteful number, since it uses less digits than its factorization.

3579664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 56 counting only the distinct ones).

The product of its digits is 136080, while the sum is 40.

The cubic root of 3579664 is about 152.9727549135.

The spelling of 3579664 in words is "three million, five hundred seventy-nine thousand, six hundred sixty-four".