3840658818048 has 1056 divisors, whose sum is σ = 13537479795840. Its totient is φ = 1035778129920.

The previous prime is 3840658818011. The next prime is 3840658818103. The reversal of 3840658818048 is 8408188560483.

3840658818048 is a `hidden beast` number, since 3 + 8 + 4 + 0 + 6 + 588 + 1 + 8 + 0 + 48 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2360576211 + ... + 2360577837.

It is an arithmetic number, because the mean of its divisors is an integer number (12819583140).

Almost surely, 2^{3840658818048} is an apocalyptic number.

3840658818048 is a gapful number since it is divisible by the number (38) 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 3840658818048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6768739897920).

3840658818048 is an abundant number, since it is smaller than the sum of its proper divisors (9696820977792).

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

3840658818048 is a wasteful number, since it uses less digits than its factorization.

3840658818048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1763 (or 1742 counting only the distinct ones).

The product of its (nonzero) digits is 47185920, while the sum is 63.

The spelling of 3840658818048 in words is "three trillion, eight hundred forty billion, six hundred fifty-eight million, eight hundred eighteen thousand, forty-eight".