3663360000 has 520 divisors, whose sum is σ = 13817889360. Its totient is φ = 958464000.

The previous prime is 3663359981. The next prime is 3663360013. The reversal of 3663360000 is 633663.

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 39 ways as a sum of consecutive naturals, for example, 69119974 + ... + 69120026.

Almost surely, 2^3663360000 is an apocalyptic number.

3663360000 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 3663360000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6908944680).

3663360000 is an abundant number, since it is smaller than the sum of its proper divisors (10154529360).

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

3663360000 is an frugal number, since it uses more digits than its factorization.

3663360000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

The square root of 3663360000 is about 60525.6970220088. The cubic root of 3663360000 is about 1541.5579892550.

Adding to 3663360000 its reverse (633663), we get a palindrome (3663993663).

The spelling of 3663360000 in words is "three billion, six hundred sixty-three million, three hundred sixty thousand".