3891825197568 has 1440 divisors, whose sum is σ = 14905187256960. Its totient is φ = 998878003200.

The previous prime is 3891825197551. The next prime is 3891825197593. The reversal of 3891825197568 is 8657915281983.

3891825197568 is a `hidden beast` number, since 3 + 8 + 9 + 1 + 8 + 2 + 51 + 9 + 7 + 568 = 666.

It is a super-2 number, since 2×3891825197568² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 3891825197496 and 3891825197505.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8442136858 + ... + 8442137318.

It is an arithmetic number, because the mean of its divisors is an integer number (10350824484).

Almost surely, 2^{3891825197568} 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 3891825197568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7452593628480).

3891825197568 is an abundant number, since it is smaller than the sum of its proper divisors (11013362059392).

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

3891825197568 is a wasteful number, since it uses less digits than its factorization.

3891825197568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 627 (or 587 counting only the distinct ones).

The product of its digits is 261273600, while the sum is 72.

The spelling of 3891825197568 in words is "three trillion, eight hundred ninety-one billion, eight hundred twenty-five million, one hundred ninety-seven thousand, five hundred sixty-eight".