3334006667 has 16 divisors (see below), whose sum is σ = 3449969664. Its totient is φ = 3220560000.

The previous prime is 3334006657. The next prime is 3334006679. The reversal of 3334006667 is 7666004333.

It is a cyclic number.

It is not a de Polignac number, because 3334006667 - 2⁴ = 3334006651 is a prime.

It is a super-2 number, since 2×3334006667² = 22231200911200897778, which contains 22 as substring.

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 3334006667.

It is not an unprimeable number, because it can be changed into a prime (3334006657) 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, 780317 + ... + 784577.

It is an arithmetic number, because the mean of its divisors is an integer number (215623104).

Almost surely, 2^3334006667 is an apocalyptic number.

3334006667 is a deficient number, since it is larger than the sum of its proper divisors (115962997).

3334006667 is a wasteful number, since it uses less digits than its factorization.

3334006667 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4550.

The product of its (nonzero) digits is 163296, while the sum is 38.

The square root of 3334006667 is about 57740.8578651201. The cubic root of 3334006667 is about 1493.9021581036.

The spelling of 3334006667 in words is "three billion, three hundred thirty-four million, six thousand, six hundred sixty-seven".