3644667136 has 108 divisors (see below), whose sum is σ = 8085694036. Its totient is φ = 1638236160.

The previous prime is 3644667127. The next prime is 3644667163. The reversal of 3644667136 is 6317664463.

It can be written as a sum of positive squares in 2 ways, for example, as 744198400 + 2900468736 = 27280^2 + 53856^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3004066 + ... + 3005278.

Almost surely, 2^3644667136 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 3644667136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4042847018).

3644667136 is an abundant number, since it is smaller than the sum of its proper divisors (4441026900).

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

3644667136 is a wasteful number, since it uses less digits than its factorization.

3644667136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1348 (or 1323 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 46.

The square root of 3644667136 is about 60371.0786386992. The cubic root of 3644667136 is about 1538.9315037160.

The spelling of 3644667136 in words is "three billion, six hundred forty-four million, six hundred sixty-seven thousand, one hundred thirty-six".