3663138816 has 260 divisors, whose sum is σ = 11183696524. Its totient is φ = 1194393600.

The previous prime is 3663138779. The next prime is 3663138827. The reversal of 3663138816 is 6188313663.

3663138816 is a `hidden beast` number, since 3 + 6 + 631 + 3 + 8 + 8 + 1 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 74649600 + 3588489216 = 8640^2 + 59904^2 .

It is a nude number because it is divisible by every one of its digits.

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 19 ways as a sum of consecutive naturals, for example, 20238246 + ... + 20238426.

Almost surely, 2^3663138816 is an apocalyptic number.

3663138816 is a gapful number since it is divisible by the number (36) 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 3663138816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5591848262).

3663138816 is an abundant number, since it is smaller than the sum of its proper divisors (7520557708).

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

3663138816 is an equidigital number, since it uses as much as digits as its factorization.

3663138816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 247 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 3663138816 is about 60523.8698035742. The cubic root of 3663138816 is about 1541.5269635641.

The spelling of 3663138816 in words is "three billion, six hundred sixty-three million, one hundred thirty-eight thousand, eight hundred sixteen".