3643164 has 96 divisors (see below), whose sum is σ = 11110400. Its totient is φ = 1010880.

The previous prime is 3643147. The next prime is 3643181. The reversal of 3643164 is 4613463.

3643164 is a `hidden beast` number, since 3 + 643 + 16 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (3643147) and next prime (3643181).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46077 + ... + 46155.

Almost surely, 2^3643164 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 3643164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5555200).

3643164 is an abundant number, since it is smaller than the sum of its proper divisors (7467236).

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

3643164 is a wasteful number, since it uses less digits than its factorization.

3643164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 152 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

The square root of 3643164 is about 1908.7074160279. The cubic root of 3643164 is about 153.8719912247.

Subtracting 3643164 from its reverse (4613463), we obtain a cube (970299 = 99³).

The spelling of 3643164 in words is "three million, six hundred forty-three thousand, one hundred sixty-four".