3967808801 has 16 divisors (see below), whose sum is σ = 4472350848. Its totient is φ = 3489158400.

The previous prime is 3967808771. The next prime is 3967808813. The reversal of 3967808801 is 1088087693.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 3967808801 - 2¹⁸ = 3967546657 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 3967808801.

It is not an unprimeable number, because it can be changed into a prime (3967808851) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6536 + ... + 89321.

It is an arithmetic number, because the mean of its divisors is an integer number (279521928).

Almost surely, 2^3967808801 is an apocalyptic number.

It is an amenable number.

3967808801 is a deficient number, since it is larger than the sum of its proper divisors (504542047).

3967808801 is a wasteful number, since it uses less digits than its factorization.

3967808801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95992.

The product of its (nonzero) digits is 580608, while the sum is 50.

The square root of 3967808801 is about 62990.5453302319. The cubic root of 3967808801 is about 1583.1312152071.

The spelling of 3967808801 in words is "three billion, nine hundred sixty-seven million, eight hundred eight thousand, eight hundred one".