3006400667 has 2 divisors, whose sum is σ = 3006400668. Its totient is φ = 3006400666.

The previous prime is 3006400651. The next prime is 3006400697. The reversal of 3006400667 is 7660046003.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 3006400667 - 2⁴ = 3006400651 is a prime.

It is not a weakly prime, because it can be changed into another prime (3006400697) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1503200333 + 1503200334.

It is an arithmetic number, because the mean of its divisors is an integer number (1503200334).

Almost surely, 2^3006400667 is an apocalyptic number.

3006400667 is a deficient number, since it is larger than the sum of its proper divisors (1).

3006400667 is an equidigital number, since it uses as much as digits as its factorization.

3006400667 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 18144, while the sum is 32.

The square root of 3006400667 is about 54830.6544462128. The cubic root of 3006400667 is about 1443.2745482846.

The spelling of 3006400667 in words is "three billion, six million, four hundred thousand, six hundred sixty-seven".