3898895575680 has 768 divisors, whose sum is σ = 15973695279360. Its totient is φ = 890221363200.

The previous prime is 3898895575669. The next prime is 3898895575697. The reversal of 3898895575680 is 865755988983.

3898895575680 is a `hidden beast` number, since 3 + 8 + 9 + 8 + 8 + 9 + 557 + 56 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 3898895575680.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1742911522 + ... + 1742913758.

It is an arithmetic number, because the mean of its divisors is an integer number (20799082395).

Almost surely, 2^{3898895575680} is an apocalyptic number.

3898895575680 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 3898895575680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7986847639680).

3898895575680 is an abundant number, since it is smaller than the sum of its proper divisors (12074799703680).

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

3898895575680 is a wasteful number, since it uses less digits than its factorization.

3898895575680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3879 (or 3855 counting only the distinct ones).

The product of its (nonzero) digits is 5225472000, while the sum is 81.

The spelling of 3898895575680 in words is "three trillion, eight hundred ninety-eight billion, eight hundred ninety-five million, five hundred seventy-five thousand, six hundred eighty".