3967207968 has 24 divisors (see below), whose sum is σ = 10413921168. Its totient is φ = 1322402624.

The previous prime is 3967207963. The next prime is 3967207973. The reversal of 3967207968 is 8697027693.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3967207963) and next prime (3967207973).

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×3967207968² = 31477478122725378048, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3967207963) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 20662446 + ... + 20662637.

It is an arithmetic number, because the mean of its divisors is an integer number (433913382).

Almost surely, 2^3967207968 is an apocalyptic number.

It is an amenable number.

3967207968 is an abundant number, since it is smaller than the sum of its proper divisors (6446713200).

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

3967207968 is a wasteful number, since it uses less digits than its factorization.

3967207968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41325096 (or 41325088 counting only the distinct ones).

The product of its (nonzero) digits is 6858432, while the sum is 57.

The square root of 3967207968 is about 62985.7759180595. The cubic root of 3967207968 is about 1583.0513016207.

The spelling of 3967207968 in words is "three billion, nine hundred sixty-seven million, two hundred seven thousand, nine hundred sixty-eight".