3643065000 has 240 divisors, whose sum is σ = 12509511300. Its totient is φ = 957312000.

The previous prime is 3643064939. The next prime is 3643065001. The reversal of 3643065000 is 5603463.

3643065000 is a `hidden beast` number, since 3 + 6 + 4 + 3 + 0 + 650 + 0 + 0 = 666.

It can be written as a sum of positive squares in 10 ways, for example, as 1090188324 + 2552876676 = 33018^2 + 50526^2 .

It is not an unprimeable number, because it can be changed into a prime (3643065001) by changing a digit.

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 59 ways as a sum of consecutive naturals, for example, 3284446 + ... + 3285554.

Almost surely, 2^3643065000 is an apocalyptic number.

3643065000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3643065000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6254755650).

3643065000 is an abundant number, since it is smaller than the sum of its proper divisors (8866446300).

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

3643065000 is a wasteful number, since it uses less digits than its factorization.

3643065000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1214 (or 1192 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 3643065000 is about 60357.8081112958. The cubic root of 3643065000 is about 1538.7059743022.

Adding to 3643065000 its reverse (5603463), we get a palindrome (3648668463).

The spelling of 3643065000 in words is "three billion, six hundred forty-three million, sixty-five thousand".