3640009000 has 64 divisors (see below), whose sum is σ = 8698959360. Its totient is φ = 1425006400.

The previous prime is 3640008989. The next prime is 3640009067. The reversal of 3640009000 is 9000463.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8277 + ... + 85723.

It is an arithmetic number, because the mean of its divisors is an integer number (135921240).

Almost surely, 2^3640009000 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 3640009000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4349479680).

3640009000 is an abundant number, since it is smaller than the sum of its proper divisors (5058950360).

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

3640009000 is a wasteful number, since it uses less digits than its factorization.

3640009000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77515 (or 77501 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

The square root of 3640009000 is about 60332.4871027210. The cubic root of 3640009000 is about 1538.2756040037.

Adding to 3640009000 its reverse (9000463), we get a palindrome (3649009463).

The spelling of 3640009000 in words is "three billion, six hundred forty million, nine thousand".