3630528000 has 640 divisors, whose sum is σ = 14707630080. Its totient is φ = 875520000.

The previous prime is 3630527977. The next prime is 3630528047. The reversal of 3630528000 is 8250363.

3630528000 is a `hidden beast` number, since 3 + 630 + 5 + 28 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 19007905 + ... + 19008095.

It is an arithmetic number, because the mean of its divisors is an integer number (22980672).

Almost surely, 2^3630528000 is an apocalyptic number.

3630528000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3630528000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7353815040).

3630528000 is an abundant number, since it is smaller than the sum of its proper divisors (11077102080).

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

3630528000 is a wasteful number, since it uses less digits than its factorization.

3630528000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 3630528000 is about 60253.8629467024. The cubic root of 3630528000 is about 1536.9388791187.

Adding to 3630528000 its reverse (8250363), we get a palindrome (3638778363).

The spelling of 3630528000 in words is "three billion, six hundred thirty million, five hundred twenty-eight thousand".