3644576628 has 288 divisors, whose sum is σ = 11325726720. Its totient is φ = 891475200.

The previous prime is 3644576591. The next prime is 3644576651. The reversal of 3644576628 is 8266754463.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13548478 + ... + 13548746.

It is an arithmetic number, because the mean of its divisors is an integer number (39325440).

Almost surely, 2^3644576628 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 3644576628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5662863360).

3644576628 is an abundant number, since it is smaller than the sum of its proper divisors (7681150092).

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

3644576628 is a wasteful number, since it uses less digits than its factorization.

3644576628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379 (or 366 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 51.

The square root of 3644576628 is about 60370.3290367048. The cubic root of 3644576628 is about 1538.9187648512.

The spelling of 3644576628 in words is "three billion, six hundred forty-four million, five hundred seventy-six thousand, six hundred twenty-eight".