3445664 has 48 divisors (see below), whose sum is σ = 7257600. Its totient is φ = 1607424.

The previous prime is 3445649. The next prime is 3445667. The reversal of 3445664 is 4665443.

3445664 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a d-powerful number, because it can be written as 3⁹ + 4³ + 4⁵ + 5³ + 6⁸ + 6⁸ + 4⁸ .

It is a self number, because there is not a number n which added to its sum of digits gives 3445664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3445667) 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, 43577 + ... + 43655.

It is an arithmetic number, because the mean of its divisors is an integer number (151200).

Almost surely, 2^3445664 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 3445664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3628800).

3445664 is an abundant number, since it is smaller than the sum of its proper divisors (3811936).

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

3445664 is a wasteful number, since it uses less digits than its factorization.

3445664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 157 counting only the distinct ones).

The product of its digits is 34560, while the sum is 32.

The square root of 3445664 is about 1856.2499831650. The cubic root of 3445664 is about 151.0396515900.

The spelling of 3445664 in words is "three million, four hundred forty-five thousand, six hundred sixty-four".