3427689171264 has 112 divisors (see below), whose sum is σ = 9719170816128. Its totient is φ = 1063348881408.

The previous prime is 3427689171233. The next prime is 3427689171307. The reversal of 3427689171264 is 4621719867243.

It is a super-3 number, since 3×3427689171264³ (a number of 39 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3427689171198 and 3427689171207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10325767 + ... + 10652550.

Almost surely, 2^{3427689171264} is an apocalyptic number.

It is an amenable number.

3427689171264 is an abundant number, since it is smaller than the sum of its proper divisors (6291481644864).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3427689171264 is a wasteful number, since it uses less digits than its factorization.

3427689171264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20978392 (or 20978382 counting only the distinct ones).

The product of its digits is 24385536, while the sum is 60.

It can be divided in two parts, 3427689 and 171264, that added together give a palindrome (3598953).

The spelling of 3427689171264 in words is "three trillion, four hundred twenty-seven billion, six hundred eighty-nine million, one hundred seventy-one thousand, two hundred sixty-four".