3840056064 has 432 divisors, whose sum is σ = 12655712160. Its totient is φ = 1111818240.

The previous prime is 3840056053. The next prime is 3840056069. The reversal of 3840056064 is 4606500483.

3840056064 is a `hidden beast` number, since 3 + 8 + 40 + 0 + 5 + 606 + 4 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3840056069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 65085667 + ... + 65085725.

It is an arithmetic number, because the mean of its divisors is an integer number (29295630).

Almost surely, 2^3840056064 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 3840056064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6327856080).

3840056064 is an abundant number, since it is smaller than the sum of its proper divisors (8815656096).

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

3840056064 is a wasteful number, since it uses less digits than its factorization.

3840056064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 3840056064 is about 61968.1859021224. The cubic root of 3840056064 is about 1565.9546773728.

The spelling of 3840056064 in words is "three billion, eight hundred forty million, fifty-six thousand, sixty-four".