3898133507268 has 672 divisors, whose sum is σ = 13958356108032. Its totient is φ = 919253836800.

The previous prime is 3898133507263. The next prime is 3898133507291. The reversal of 3898133507268 is 8627053318983.

3898133507268 is a `hidden beast` number, since 3 + 8 + 9 + 8 + 13 + 350 + 7 + 268 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (3898133507263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 178042930 + ... + 178064822.

It is an arithmetic number, because the mean of its divisors is an integer number (20771363256).

Almost surely, 2^{3898133507268} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3898133507268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6979178054016).

3898133507268 is an abundant number, since it is smaller than the sum of its proper divisors (10060222600764).

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

3898133507268 is a wasteful number, since it uses less digits than its factorization.

3898133507268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22007 (or 21990 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 3898133507268 in words is "three trillion, eight hundred ninety-eight billion, one hundred thirty-three million, five hundred seven thousand, two hundred sixty-eight".