3660800000 has 336 divisors, whose sum is σ = 10750655664. Its totient is φ = 1228800000.

The previous prime is 3660799997. The next prime is 3660800021. The reversal of 3660800000 is 80663.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 281599994 + ... + 281600006.

It is an arithmetic number, because the mean of its divisors is an integer number (31995999).

Almost surely, 2^3660800000 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 3660800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5375327832).

3660800000 is an abundant number, since it is smaller than the sum of its proper divisors (7089855664).

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

3660800000 is an frugal number, since it uses more digits than its factorization.

3660800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 3660800000 is about 60504.5452838049. The cubic root of 3660800000 is about 1541.1988191606.

Adding to 3660800000 its reverse (80663), we get a palindrome (3660880663).

The spelling of 3660800000 in words is "three billion, six hundred sixty million, eight hundred thousand".