3400007334067 has 16 divisors (see below), whose sum is σ = 3560370818112. Its totient is φ = 3240708894720.

The previous prime is 3400007334041. The next prime is 3400007334083. The reversal of 3400007334067 is 7604337000043.

It is a happy number.

3400007334067 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 3400007334067 - 2⁷ = 3400007333939 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3400007334007) 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, 7161967 + ... + 7621927.

It is an arithmetic number, because the mean of its divisors is an integer number (222523176132).

Almost surely, 2^{3400007334067} is an apocalyptic number.

3400007334067 is a deficient number, since it is larger than the sum of its proper divisors (160363484045).

3400007334067 is a wasteful number, since it uses less digits than its factorization.

3400007334067 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461118.

The product of its (nonzero) digits is 127008, while the sum is 37.

The spelling of 3400007334067 in words is "three trillion, four hundred billion, seven million, three hundred thirty-four thousand, sixty-seven".