3896648300160 has 2304 divisors, whose sum is σ = 17986822963200. Its totient is φ = 758738534400.

The previous prime is 3896648300093. The next prime is 3896648300177. The reversal of 3896648300160 is 610038466983.

3896648300160 is a `hidden beast` number, since 3 + 89 + 66 + 48 + 300 + 160 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 3896648300097 and 3896648300106.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 11772351195 + ... + 11772351525.

It is an arithmetic number, because the mean of its divisors is an integer number (7806780800).

Almost surely, 2^{3896648300160} is an apocalyptic number.

3896648300160 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 3896648300160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8993411481600).

3896648300160 is an abundant number, since it is smaller than the sum of its proper divisors (14090174663040).

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

3896648300160 is a wasteful number, since it uses less digits than its factorization.

3896648300160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 531 (or 505 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 3896648300160 in words is "three trillion, eight hundred ninety-six billion, six hundred forty-eight million, three hundred thousand, one hundred sixty".