3668668080 has 320 divisors, whose sum is σ = 14395650048. Its totient is φ = 750689280.

The previous prime is 3668668079. The next prime is 3668668169. The reversal of 3668668080 is 808668663.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1236679 + ... + 1239641.

Almost surely, 2^3668668080 is an apocalyptic number.

3668668080 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 3668668080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7197825024).

3668668080 is an abundant number, since it is smaller than the sum of its proper divisors (10726981968).

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

3668668080 is a wasteful number, since it uses less digits than its factorization.

3668668080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3064 (or 3058 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 51.

The square root of 3668668080 is about 60569.5309541027. The cubic root of 3668668080 is about 1542.3021843978.

The spelling of 3668668080 in words is "three billion, six hundred sixty-eight million, six hundred sixty-eight thousand, eighty".