3400017485679 has 48 divisors (see below), whose sum is σ = 5148812258304. Its totient is φ = 2159313552000.

The previous prime is 3400017485663. The next prime is 3400017485693. The reversal of 3400017485679 is 9765847100043.

3400017485679 is a `hidden beast` number, since 3 + 4 + 0 + 0 + 0 + 1 + 74 + 8 + 567 + 9 = 666.

It is not a de Polignac number, because 3400017485679 - 2⁴ = 3400017485663 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3400017485629) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27060867 + ... + 27186219.

It is an arithmetic number, because the mean of its divisors is an integer number (107266922048).

Almost surely, 2^{3400017485679} is an apocalyptic number.

3400017485679 is a deficient number, since it is larger than the sum of its proper divisors (1748794772625).

3400017485679 is a wasteful number, since it uses less digits than its factorization.

3400017485679 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126908 (or 126905 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 3400017485679 in words is "three trillion, four hundred billion, seventeen million, four hundred eighty-five thousand, six hundred seventy-nine".