3400940610067 has 16 divisors (see below), whose sum is σ = 4566297883392. Its totient is φ = 2446231007520.

The previous prime is 3400940610049. The next prime is 3400940610079. The reversal of 3400940610067 is 7600160490043.

It is a cyclic number.

It is not a de Polignac number, because 3400940610067 - 2³⁹ = 2851184796179 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3400940610097) 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, 1698770533 + ... + 1698772534.

It is an arithmetic number, because the mean of its divisors is an integer number (285393617712).

Almost surely, 2^{3400940610067} is an apocalyptic number.

3400940610067 is a deficient number, since it is larger than the sum of its proper divisors (1165357273325).

3400940610067 is a wasteful number, since it uses less digits than its factorization.

3400940610067 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3397543098.

The product of its (nonzero) digits is 108864, while the sum is 40.

The spelling of 3400940610067 in words is "three trillion, four hundred billion, nine hundred forty million, six hundred ten thousand, sixty-seven".