3840652853568 has 336 divisors, whose sum is σ = 12024690525120. Its totient is φ = 1212073611264.

The previous prime is 3840652853539. The next prime is 3840652853579. The reversal of 3840652853568 is 8653582560483.

3840652853568 is a `hidden beast` number, since 3 + 8 + 4 + 0 + 6 + 528 + 53 + 56 + 8 = 666.

It is a super-2 number, since 2×3840652853568² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 636182646 + ... + 636188682.

It is an arithmetic number, because the mean of its divisors is an integer number (35787769420).

Almost surely, 2^{3840652853568} is an apocalyptic number.

3840652853568 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 3840652853568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6012345262560).

3840652853568 is an abundant number, since it is smaller than the sum of its proper divisors (8184037671552).

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

3840652853568 is a wasteful number, since it uses less digits than its factorization.

3840652853568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8236 (or 8214 counting only the distinct ones).

The product of its (nonzero) digits is 165888000, while the sum is 63.

The spelling of 3840652853568 in words is "three trillion, eight hundred forty billion, six hundred fifty-two million, eight hundred fifty-three thousand, five hundred sixty-eight".