3645444132 has 144 divisors (see below), whose sum is σ = 10451750400. Its totient is φ = 1061337600.

The previous prime is 3645444107. The next prime is 3645444137. The reversal of 3645444132 is 2314445463.

3645444132 is a `hidden beast` number, since 3 + 645 + 4 + 4 + 4 + 1 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3645444137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1828128 + ... + 1830120.

It is an arithmetic number, because the mean of its divisors is an integer number (72581600).

Almost surely, 2^3645444132 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 3645444132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5225875200).

3645444132 is an abundant number, since it is smaller than the sum of its proper divisors (6806306268).

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

3645444132 is a wasteful number, since it uses less digits than its factorization.

3645444132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2194 (or 2189 counting only the distinct ones).

The product of its digits is 138240, while the sum is 36.

The square root of 3645444132 is about 60377.5134632091. The cubic root of 3645444132 is about 1539.0408560579.

Adding to 3645444132 its reverse (2314445463), we get a palindrome (5959889595).

The spelling of 3645444132 in words is "three billion, six hundred forty-five million, four hundred forty-four thousand, one hundred thirty-two".