3663121968 has 240 divisors, whose sum is σ = 11730665856. Its totient is φ = 1097349120.

The previous prime is 3663121963. The next prime is 3663121993. The reversal of 3663121968 is 8691213663.

3663121968 is a `hidden beast` number, since 3 + 6 + 631 + 2 + 1 + 9 + 6 + 8 = 666.

3663121968 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 nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (3663121963) 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, 4148055 + ... + 4148937.

Almost surely, 2^3663121968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3663121968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5865332928).

3663121968 is an abundant number, since it is smaller than the sum of its proper divisors (8067543888).

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

3663121968 is a wasteful number, since it uses less digits than its factorization.

3663121968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1014 (or 996 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The square root of 3663121968 is about 60523.7306186590. The cubic root of 3663121968 is about 1541.5246002279.

The spelling of 3663121968 in words is "three billion, six hundred sixty-three million, one hundred twenty-one thousand, nine hundred sixty-eight".