3663136000 has 72 divisors (see below), whose sum is σ = 9125409384. Its totient is φ = 1465241600.

The previous prime is 3663135977. The next prime is 3663136007. The reversal of 3663136000 is 6313663.

It can be written as a sum of positive squares in 4 ways, for example, as 16908544 + 3646227456 = 4112^2 + 60384^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 3663136000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3663136007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25237 + ... + 89236.

It is an arithmetic number, because the mean of its divisors is an integer number (126741797).

Almost surely, 2^3663136000 is an apocalyptic number.

It is an amenable number.

3663136000 is an abundant number, since it is smaller than the sum of its proper divisors (5462273384).

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

3663136000 is an equidigital number, since it uses as much as digits as its factorization.

3663136000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114504 (or 114480 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 28.

The square root of 3663136000 is about 60523.8465400209. The cubic root of 3663136000 is about 1541.5265685530.

Adding to 3663136000 its reverse (6313663), we get a palindrome (3669449663).

The spelling of 3663136000 in words is "three billion, six hundred sixty-three million, one hundred thirty-six thousand".