3663506880 has 336 divisors, whose sum is σ = 14258934144. Its totient is φ = 887915520.

The previous prime is 3663506849. The next prime is 3663506881. The reversal of 3663506880 is 886053663.

3663506880 is a `hidden beast` number, since 3 + 6 + 63 + 506 + 8 + 80 = 666.

3663506880 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3663506881) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 853219 + ... + 857501.

It is an arithmetic number, because the mean of its divisors is an integer number (42437304).

Almost surely, 2^3663506880 is an apocalyptic number.

3663506880 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 3663506880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7129467072).

3663506880 is an abundant number, since it is smaller than the sum of its proper divisors (10595427264).

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

3663506880 is a wasteful number, since it uses less digits than its factorization.

3663506880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4326 (or 4304 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 3663506880 is about 60526.9103787728. The cubic root of 3663506880 is about 1541.5785915628.

The spelling of 3663506880 in words is "three billion, six hundred sixty-three million, five hundred six thousand, eight hundred eighty".