3967893201 has 16 divisors (see below), whose sum is σ = 5308672320. Its totient is φ = 2636206080.

The previous prime is 3967893199. The next prime is 3967893233. The reversal of 3967893201 is 1023987693.

3967893201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3967893201 - 2¹ = 3967893199 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3967893301) 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, 1234885 + ... + 1238093.

It is an arithmetic number, because the mean of its divisors is an integer number (331792020).

Almost surely, 2^3967893201 is an apocalyptic number.

It is an amenable number.

3967893201 is a deficient number, since it is larger than the sum of its proper divisors (1340779119).

3967893201 is a wasteful number, since it uses less digits than its factorization.

3967893201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4496.

The product of its (nonzero) digits is 489888, while the sum is 48.

The square root of 3967893201 is about 62991.2152684801. The cubic root of 3967893201 is about 1583.1424401538.

The spelling of 3967893201 in words is "three billion, nine hundred sixty-seven million, eight hundred ninety-three thousand, two hundred one".