3644825600 has 252 divisors, whose sum is σ = 10004082354. Its totient is φ = 1309409280.

The previous prime is 3644825599. The next prime is 3644825609. The reversal of 3644825600 is 65284463.

It can be written as a sum of positive squares in 9 ways, for example, as 870486016 + 2774339584 = 29504^2 + 52672^2 .

It is not an unprimeable number, because it can be changed into a prime (3644825609) 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 17 ways as a sum of consecutive naturals, for example, 98508782 + ... + 98508818.

Almost surely, 2^3644825600 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 3644825600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5002041177).

3644825600 is an abundant number, since it is smaller than the sum of its proper divisors (6359256754).

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

3644825600 is an equidigital number, since it uses as much as digits as its factorization.

3644825600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 38.

The square root of 3644825600 is about 60372.3910409386. The cubic root of 3644825600 is about 1538.9538067776.

The spelling of 3644825600 in words is "three billion, six hundred forty-four million, eight hundred twenty-five thousand, six hundred".