3663312480 has 576 divisors, whose sum is σ = 14171371200. Its totient is φ = 893555712.

The previous prime is 3663312431. The next prime is 3663312481. The reversal of 3663312480 is 842133663.

3663312480 is a `hidden beast` number, since 3 + 6 + 633 + 12 + 4 + 8 + 0 = 666.

3663312480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3663312480² = 26839716652247500800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3663312481) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 126321106 + ... + 126321134.

It is an arithmetic number, because the mean of its divisors is an integer number (24603075).

Almost surely, 2^3663312480 is an apocalyptic number.

3663312480 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 3663312480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7085685600).

3663312480 is an abundant number, since it is smaller than the sum of its proper divisors (10508058720).

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

3663312480 is an equidigital number, since it uses as much as digits as its factorization.

3663312480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 3663312480 is about 60525.3044602008. The cubic root of 3663312480 is about 1541.5513236845.

The spelling of 3663312480 in words is "three billion, six hundred sixty-three million, three hundred twelve thousand, four hundred eighty".