3641664 has 56 divisors (see below), whose sum is σ = 10383520. Its totient is φ = 1119744.

The previous prime is 3641653. The next prime is 3641707. The reversal of 3641664 is 4661463.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1767 + ... + 3225.

It is an arithmetic number, because the mean of its divisors is an integer number (185420).

Almost surely, 2^3641664 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 3641664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5191760).

3641664 is an abundant number, since it is smaller than the sum of its proper divisors (6741856).

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

3641664 is a wasteful number, since it uses less digits than its factorization.

3641664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1487 (or 1477 counting only the distinct ones).

The product of its digits is 10368, while the sum is 30.

The square root of 3641664 is about 1908.3144394989. The cubic root of 3641664 is about 153.8508704195.

The spelling of 3641664 in words is "three million, six hundred forty-one thousand, six hundred sixty-four".