3967601968 has 40 divisors (see below), whose sum is σ = 8396516160. Its totient is φ = 1801208640.

The previous prime is 3967601947. The next prime is 3967601971. The reversal of 3967601968 is 8691067693.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 131923 + ... + 159181.

It is an arithmetic number, because the mean of its divisors is an integer number (209912904).

Almost surely, 2^3967601968 is an apocalyptic number.

It is an amenable number.

3967601968 is an abundant number, since it is smaller than the sum of its proper divisors (4428914192).

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

3967601968 is a wasteful number, since it uses less digits than its factorization.

3967601968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28105 (or 28099 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 55.

The square root of 3967601968 is about 62988.9035307013. The cubic root of 3967601968 is about 1583.1037063657.

The spelling of 3967601968 in words is "three billion, nine hundred sixty-seven million, six hundred one thousand, nine hundred sixty-eight".