3868469206056 has 1152 divisors, whose sum is σ = 14600948544000. Its totient is φ = 913092009984.

The previous prime is 3868469206013. The next prime is 3868469206087. The reversal of 3868469206056 is 6506029648683.

3868469206056 is a `hidden beast` number, since 3 + 8 + 68 + 469 + 2 + 0 + 60 + 56 = 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 = 3868469205984 and 3868469206002.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1187738380 + ... + 1187741636.

It is an arithmetic number, because the mean of its divisors is an integer number (12674434500).

Almost surely, 2^{3868469206056} is an apocalyptic number.

3868469206056 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 3868469206056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7300474272000).

3868469206056 is an abundant number, since it is smaller than the sum of its proper divisors (10732479337944).

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

3868469206056 is a wasteful number, since it uses less digits than its factorization.

3868469206056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3391 (or 3377 counting only the distinct ones).

The product of its (nonzero) digits is 89579520, while the sum is 63.

The spelling of 3868469206056 in words is "three trillion, eight hundred sixty-eight billion, four hundred sixty-nine million, two hundred six thousand, fifty-six".