3404006667 has 16 divisors (see below), whose sum is σ = 5046245760. Its totient is φ = 2267865000.

The previous prime is 3404006629. The next prime is 3404006701. The reversal of 3404006667 is 7666004043.

It is not a de Polignac number, because 3404006667 - 2⁶ = 3404006603 is a prime.

It is a super-2 number, since 2×3404006667² = 23174522777960897778, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3404006467) 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, 2292 + ... + 82542.

It is an arithmetic number, because the mean of its divisors is an integer number (315390360).

Almost surely, 2^3404006667 is an apocalyptic number.

3404006667 is a deficient number, since it is larger than the sum of its proper divisors (1642239093).

3404006667 is a wasteful number, since it uses less digits than its factorization.

3404006667 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81831 (or 81825 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 3404006667 is about 58343.8657186855. The cubic root of 3404006667 is about 1504.2850313480.

The spelling of 3404006667 in words is "three billion, four hundred four million, six thousand, six hundred sixty-seven".