3858942624768 has 396 divisors, whose sum is σ = 13997360453440. Its totient is φ = 1002320732160.

The previous prime is 3858942624767. The next prime is 3858942624773. The reversal of 3858942624768 is 8674262498583.

3858942624768 is a `hidden beast` number, since 3 + 8 + 5 + 8 + 94 + 2 + 62 + 476 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (396).

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 = 3858942624696 and 3858942624705.

It is not an unprimeable number, because it can be changed into a prime (3858942624767) 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 35 ways as a sum of consecutive naturals, for example, 7558773 + ... + 8053131.

Almost surely, 2^{3858942624768} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3858942624768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6998680226720).

3858942624768 is an abundant number, since it is smaller than the sum of its proper divisors (10138417828672).

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

3858942624768 is a wasteful number, since it uses less digits than its factorization.

3858942624768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494414 (or 494382 counting only the distinct ones).

The product of its digits is 1114767360, while the sum is 72.

The spelling of 3858942624768 in words is "three trillion, eight hundred fifty-eight billion, nine hundred forty-two million, six hundred twenty-four thousand, seven hundred sixty-eight".