3825068098896 has 320 divisors, whose sum is σ = 12241959321600. Its totient is φ = 1133775014400.

The previous prime is 3825068098849. The next prime is 3825068098897. The reversal of 3825068098896 is 6988908605283.

3825068098896 is a `hidden beast` number, since 38 + 2 + 506 + 8 + 0 + 9 + 8 + 89 + 6 = 666.

It is a super-2 number, since 2×3825068098896² (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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (3825068098897) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 42804150 + ... + 42893418.

It is an arithmetic number, because the mean of its divisors is an integer number (38256122880).

Almost surely, 2^{3825068098896} is an apocalyptic number.

3825068098896 is a gapful number since it is divisible by the number (36) 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 3825068098896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6120979660800).

3825068098896 is an abundant number, since it is smaller than the sum of its proper divisors (8416891222704).

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

3825068098896 is a wasteful number, since it uses less digits than its factorization.

3825068098896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89495 (or 89483 counting only the distinct ones).

The product of its (nonzero) digits is 358318080, while the sum is 72.

The spelling of 3825068098896 in words is "three trillion, eight hundred twenty-five billion, sixty-eight million, ninety-eight thousand, eight hundred ninety-six".