3632520320 has 256 divisors, whose sum is σ = 10744272000. Its totient is φ = 1154580480.

The previous prime is 3632520289. The next prime is 3632520323. The reversal of 3632520320 is 230252363.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 3632520320.

It is not an unprimeable number, because it can be changed into a prime (3632520323) 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 31 ways as a sum of consecutive naturals, for example, 1737836 + ... + 1739924.

Almost surely, 2^3632520320 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 3632520320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5372136000).

3632520320 is an abundant number, since it is smaller than the sum of its proper divisors (7111751680).

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

3632520320 is a wasteful number, since it uses less digits than its factorization.

3632520320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2151 (or 2139 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 26.

The square root of 3632520320 is about 60270.3933950991. The cubic root of 3632520320 is about 1537.2199690057.

Adding to 3632520320 its reverse (230252363), we get a palindrome (3862772683).

The spelling of 3632520320 in words is "three billion, six hundred thirty-two million, five hundred twenty thousand, three hundred twenty".