3643324128 has 144 divisors (see below), whose sum is σ = 11072421360. Its totient is φ = 1132351488.

The previous prime is 3643324127. The next prime is 3643324193. The reversal of 3643324128 is 8214233463.

3643324128 is a `hidden beast` number, since 3 + 643 + 3 + 2 + 4 + 1 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 3643324092 and 3643324101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3643324123) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 530251 + ... + 537077.

It is an arithmetic number, because the mean of its divisors is an integer number (76891815).

Almost surely, 2^3643324128 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 3643324128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5536210680).

3643324128 is an abundant number, since it is smaller than the sum of its proper divisors (7429097232).

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

3643324128 is a wasteful number, since it uses less digits than its factorization.

3643324128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6969 (or 6958 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The square root of 3643324128 is about 60359.9546719512. The cubic root of 3643324128 is about 1538.7424557035.

The spelling of 3643324128 in words is "three billion, six hundred forty-three million, three hundred twenty-four thousand, one hundred twenty-eight".