3968941567 has 8 divisors (see below), whose sum is σ = 4315988016. Its totient is φ = 3634515072.

The previous prime is 3968941549. The next prime is 3968941589. The reversal of 3968941567 is 7651498693.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 3968941567 - 2¹⁵ = 3968908799 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3968941267) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3154333 + ... + 3155590.

It is an arithmetic number, because the mean of its divisors is an integer number (539498502).

Almost surely, 2^3968941567 is an apocalyptic number.

3968941567 is a gapful number since it is divisible by the number (37) formed by its first and last digit.

3968941567 is a deficient number, since it is larger than the sum of its proper divisors (347046449).

3968941567 is a wasteful number, since it uses less digits than its factorization.

3968941567 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6309977.

The product of its digits is 9797760, while the sum is 58.

The square root of 3968941567 is about 62999.5362443248. The cubic root of 3968941567 is about 1583.2818564194.

The spelling of 3968941567 in words is "three billion, nine hundred sixty-eight million, nine hundred forty-one thousand, five hundred sixty-seven".