3879249325056 has 616 divisors, whose sum is σ = 14069662786080. Its totient is φ = 1043135594496.

The previous prime is 3879249325043. The next prime is 3879249325057. The reversal of 3879249325056 is 6505239429783.

3879249325056 is a `hidden beast` number, since 3 + 8 + 7 + 92 + 4 + 9 + 32 + 505 + 6 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 3879249324984 and 3879249325002.

It is not an unprimeable number, because it can be changed into a prime (3879249325057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 88811190 + ... + 88854858.

Almost surely, 2^{3879249325056} is an apocalyptic number.

3879249325056 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 3879249325056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7034831393040).

3879249325056 is an abundant number, since it is smaller than the sum of its proper divisors (10190413461024).

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

3879249325056 is an equidigital number, since it uses as much as digits as its factorization.

3879249325056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43731 (or 43698 counting only the distinct ones).

The product of its (nonzero) digits is 97977600, while the sum is 63.

The spelling of 3879249325056 in words is "three trillion, eight hundred seventy-nine billion, two hundred forty-nine million, three hundred twenty-five thousand, fifty-six".