3825978655104 has 192 divisors, whose sum is σ = 11913828675840. Its totient is φ = 1219877024256.

The previous prime is 3825978655061. The next prime is 3825978655111. The reversal of 3825978655104 is 4015568795283.

3825978655104 is a `hidden beast` number, since 3 + 8 + 2 + 5 + 9 + 78 + 6 + 551 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×3825978655104² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1958652 + ... + 3389435.

It is an arithmetic number, because the mean of its divisors is an integer number (62051191020).

It is a 1-persistent number, because it is pandigital, but 2⋅3825978655104 = 7651957310208 is not.

Almost surely, 2^{3825978655104} is an apocalyptic number.

It is an amenable number.

3825978655104 is an abundant number, since it is smaller than the sum of its proper divisors (8087850020736).

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

3825978655104 is an equidigital number, since it uses as much as digits as its factorization.

3825978655104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5348139 (or 5348115 counting only the distinct ones).

The product of its (nonzero) digits is 72576000, while the sum is 63.

The spelling of 3825978655104 in words is "three trillion, eight hundred twenty-five billion, nine hundred seventy-eight million, six hundred fifty-five thousand, one hundred four".