3875656826880 has 1152 divisors, whose sum is σ = 14676652569600. Its totient is φ = 968330575872.

The previous prime is 3875656826819. The next prime is 3875656826891. The reversal of 3875656826880 is 886286565783.

3875656826880 is a `hidden beast` number, since 3 + 8 + 7 + 56 + 568 + 2 + 6 + 8 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 = 3875656826799 and 3875656826808.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 36221091787 + ... + 36221091893.

It is an arithmetic number, because the mean of its divisors is an integer number (12740149800).

Almost surely, 2^{3875656826880} is an apocalyptic number.

3875656826880 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 3875656826880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7338326284800).

3875656826880 is an abundant number, since it is smaller than the sum of its proper divisors (10800995742720).

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

3875656826880 is an equidigital number, since it uses as much as digits as its factorization.

3875656826880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 928972800, while the sum is 72.

The spelling of 3875656826880 in words is "three trillion, eight hundred seventy-five billion, six hundred fifty-six million, eight hundred twenty-six thousand, eight hundred eighty".