3630203205120 has 480 divisors, whose sum is σ = 13048942626720. Its totient is φ = 967246479360.

The previous prime is 3630203205053. The next prime is 3630203205151. The reversal of 3630203205120 is 215023020363.

3630203205120 is a `hidden beast` number, since 3 + 630 + 2 + 0 + 3 + 2 + 0 + 5 + 1 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1324406950 + ... + 1324409690.

It is an arithmetic number, because the mean of its divisors is an integer number (27185297139).

Almost surely, 2^{3630203205120} is an apocalyptic number.

3630203205120 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 3630203205120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6524471313360).

3630203205120 is an abundant number, since it is smaller than the sum of its proper divisors (9418739421600).

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

3630203205120 is an equidigital number, since it uses as much as digits as its factorization.

3630203205120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4908 (or 4880 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

Adding to 3630203205120 its reverse (215023020363), we get a palindrome (3845226225483).

The spelling of 3630203205120 in words is "three trillion, six hundred thirty billion, two hundred three million, two hundred five thousand, one hundred twenty".