3840063744 has 324 divisors, whose sum is σ = 11877757584. Its totient is φ = 1099929600.

The previous prime is 3840063743. The next prime is 3840063769. The reversal of 3840063744 is 4473600483.

It is not an unprimeable number, because it can be changed into a prime (3840063743) 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 35 ways as a sum of consecutive naturals, for example, 89303787 + ... + 89303829.

Almost surely, 2^3840063744 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 3840063744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5938878792).

3840063744 is an abundant number, since it is smaller than the sum of its proper divisors (8037693840).

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

3840063744 is a wasteful number, since it uses less digits than its factorization.

3840063744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 39.

The square root of 3840063744 is about 61968.2478693726. The cubic root of 3840063744 is about 1565.9557213266.

The spelling of 3840063744 in words is "three billion, eight hundred forty million, sixty-three thousand, seven hundred forty-four".