3663072000 has 864 divisors, whose sum is σ = 15917690880. Its totient is φ = 790732800.

The previous prime is 3663071999. The next prime is 3663072011. The reversal of 3663072000 is 2703663.

3663072000 is a `hidden beast` number, since 3 + 6 + 630 + 7 + 20 + 0 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 46367961 + ... + 46368039.

Almost surely, 2^3663072000 is an apocalyptic number.

3663072000 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 3663072000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7958845440).

3663072000 is an abundant number, since it is smaller than the sum of its proper divisors (12254618880).

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

3663072000 is a wasteful number, since it uses less digits than its factorization.

3663072000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 27.

The square root of 3663072000 is about 60523.3178204896. The cubic root of 3663072000 is about 1541.5175909744.

Adding to 3663072000 its reverse (2703663), we get a palindrome (3665775663).

The spelling of 3663072000 in words is "three billion, six hundred sixty-three million, seventy-two thousand".