3645661632 has 56 divisors (see below), whose sum is σ = 10153497600. Its totient is φ = 1151260416.

The previous prime is 3645661627. The next prime is 3645661639. The reversal of 3645661632 is 2361665463.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3645661639) 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 7 ways as a sum of consecutive naturals, for example, 496032 + ... + 503327.

Almost surely, 2^3645661632 is an apocalyptic number.

3645661632 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3645661632 is an abundant number, since it is smaller than the sum of its proper divisors (6507835968).

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

3645661632 is a wasteful number, since it uses less digits than its factorization.

3645661632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 999393 (or 999383 counting only the distinct ones).

The product of its digits is 466560, while the sum is 42.

The square root of 3645661632 is about 60379.3146035958. The cubic root of 3645661632 is about 1539.0714636434.

The spelling of 3645661632 in words is "three billion, six hundred forty-five million, six hundred sixty-one thousand, six hundred thirty-two".