3640583628 has 108 divisors (see below), whose sum is σ = 10175815104. Its totient is φ = 1096603200.

The previous prime is 3640583627. The next prime is 3640583629. The reversal of 3640583628 is 8263850463.

It is a happy number.

3640583628 is a `hidden beast` number, since 3 + 6 + 4 + 0 + 583 + 62 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (3640583627) and next prime (3640583629).

It is not an unprimeable number, because it can be changed into a prime (3640583627) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 751173 + ... + 756003.

Almost surely, 2^3640583628 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 3640583628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5087907552).

3640583628 is an abundant number, since it is smaller than the sum of its proper divisors (6535231476).

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

3640583628 is a wasteful number, since it uses less digits than its factorization.

3640583628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5036 (or 5020 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The square root of 3640583628 is about 60337.2490920824. The cubic root of 3640583628 is about 1538.3565460860.

The spelling of 3640583628 in words is "three billion, six hundred forty million, five hundred eighty-three thousand, six hundred twenty-eight".