3667027968 has 288 divisors, whose sum is σ = 11490242400. Its totient is φ = 1122729984.

The previous prime is 3667027967. The next prime is 3667027979. The reversal of 3667027968 is 8697207663.

3667027968 is a `hidden beast` number, since 366 + 7 + 0 + 279 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (3667027967) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 12957555 + ... + 12957837.

It is an arithmetic number, because the mean of its divisors is an integer number (39896675).

Almost surely, 2^3667027968 is an apocalyptic number.

3667027968 is a gapful number since it is divisible by the number (38) 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 3667027968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5745121200).

3667027968 is an abundant number, since it is smaller than the sum of its proper divisors (7823214432).

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

3667027968 is a wasteful number, since it uses less digits than its factorization.

3667027968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The square root of 3667027968 is about 60555.9903560333. The cubic root of 3667027968 is about 1542.0723166537.

The spelling of 3667027968 in words is "three billion, six hundred sixty-seven million, twenty-seven thousand, nine hundred sixty-eight".