3427872024960 has 384 divisors, whose sum is σ = 12738640880160. Its totient is φ = 846223441920.

The previous prime is 3427872024947. The next prime is 3427872025007. The reversal of 3427872024960 is 694202787243.

3427872024960 is a `hidden beast` number, since 3 + 4 + 278 + 72 + 0 + 249 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 3427872024897 and 3427872024906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5686179 + ... + 6260061.

Almost surely, 2^{3427872024960} is an apocalyptic number.

3427872024960 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3427872024960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6369320440080).

3427872024960 is an abundant number, since it is smaller than the sum of its proper divisors (9310768855200).

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

3427872024960 is a wasteful number, since it uses less digits than its factorization.

3427872024960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 573986 (or 573971 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

The spelling of 3427872024960 in words is "three trillion, four hundred twenty-seven billion, eight hundred seventy-two million, twenty-four thousand, nine hundred sixty".