3255648374160 has 960 divisors, whose sum is σ = 13944337505280. Its totient is φ = 662094397440.

The previous prime is 3255648374159. The next prime is 3255648374213. The reversal of 3255648374160 is 614738465523.

3255648374160 is a `hidden beast` number, since 3 + 2 + 5 + 564 + 8 + 3 + 74 + 1 + 6 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 3255648374097 and 3255648374106.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1559964637 + ... + 1559966723.

It is an arithmetic number, because the mean of its divisors is an integer number (14525351568).

Almost surely, 2^{3255648374160} is an apocalyptic number.

3255648374160 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 3255648374160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6972168752640).

3255648374160 is an abundant number, since it is smaller than the sum of its proper divisors (10688689131120).

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

3255648374160 is a wasteful number, since it uses less digits than its factorization.

3255648374160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2976 (or 2967 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 54.

The spelling of 3255648374160 in words is "three trillion, two hundred fifty-five billion, six hundred forty-eight million, three hundred seventy-four thousand, one hundred sixty".