3668310672 has 160 divisors (see below), whose sum is σ = 10545991680. Its totient is φ = 1091543040.

The previous prime is 3668310671. The next prime is 3668310689. The reversal of 3668310672 is 2760138663.

It is not an unprimeable number, because it can be changed into a prime (3668310671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3248604 + ... + 3249732.

It is an arithmetic number, because the mean of its divisors is an integer number (65912448).

Almost surely, 2^3668310672 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 3668310672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5272995840).

3668310672 is an abundant number, since it is smaller than the sum of its proper divisors (6877681008).

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

3668310672 is a wasteful number, since it uses less digits than its factorization.

3668310672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1321 (or 1315 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 42.

The square root of 3668310672 is about 60566.5804879225. The cubic root of 3668310672 is about 1542.2520981877.

The spelling of 3668310672 in words is "three billion, six hundred sixty-eight million, three hundred ten thousand, six hundred seventy-two".