3268817667 has 16 divisors (see below), whose sum is σ = 4847844480. Its totient is φ = 2176893576.

The previous prime is 3268817639. The next prime is 3268817687. The reversal of 3268817667 is 7667188623.

It is not a de Polignac number, because 3268817667 - 2¹⁸ = 3268555523 is a prime.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (3268817687) 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, 38353 + ... + 89490.

It is an arithmetic number, because the mean of its divisors is an integer number (302990280).

Almost surely, 2^3268817667 is an apocalyptic number.

3268817667 is a deficient number, since it is larger than the sum of its proper divisors (1579026813).

3268817667 is a wasteful number, since it uses less digits than its factorization.

3268817667 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128799 (or 128793 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 54.

The square root of 3268817667 is about 57173.5749013476. The cubic root of 3268817667 is about 1484.1013683623.

The spelling of 3268817667 in words is "three billion, two hundred sixty-eight million, eight hundred seventeen thousand, six hundred sixty-seven".