3400433677407 has 16 divisors (see below), whose sum is σ = 4888398165728. Its totient is φ = 2090121356160.

The previous prime is 3400433677373. The next prime is 3400433677439. The reversal of 3400433677407 is 7047763340043.

It is not a de Polignac number, because 3400433677407 - 2⁶ = 3400433677343 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3400433677457) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51074944 + ... + 51141477.

It is an arithmetic number, because the mean of its divisors is an integer number (305524885358).

Almost surely, 2^{3400433677407} is an apocalyptic number.

3400433677407 is a deficient number, since it is larger than the sum of its proper divisors (1487964488321).

3400433677407 is a wasteful number, since it uses less digits than its factorization.

3400433677407 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102217290.

The product of its (nonzero) digits is 3556224, while the sum is 48.

The spelling of 3400433677407 in words is "three trillion, four hundred billion, four hundred thirty-three million, six hundred seventy-seven thousand, four hundred seven".