3640185640 has 192 divisors, whose sum is σ = 10377417600. Its totient is φ = 1124637696.

The previous prime is 3640185631. The next prime is 3640185641. The reversal of 3640185640 is 465810463.

It is a happy number.

3640185640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 3640185640.

It is not an unprimeable number, because it can be changed into a prime (3640185641) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2033866 + ... + 2035654.

It is an arithmetic number, because the mean of its divisors is an integer number (54049050).

Almost surely, 2^3640185640 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 3640185640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5188708800).

3640185640 is an abundant number, since it is smaller than the sum of its proper divisors (6737231960).

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

3640185640 is a wasteful number, since it uses less digits than its factorization.

3640185640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1876 (or 1859 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 37.

The square root of 3640185640 is about 60333.9509728975. The cubic root of 3640185640 is about 1538.3004864154.

The spelling of 3640185640 in words is "three billion, six hundred forty million, one hundred eighty-five thousand, six hundred forty".