3840064240 has 80 divisors (see below), whose sum is σ = 9465465600. Its totient is φ = 1446266880.

The previous prime is 3840064213. The next prime is 3840064243. The reversal of 3840064240 is 424600483.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3840064243) 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 15 ways as a sum of consecutive naturals, for example, 70836 + ... + 112684.

It is an arithmetic number, because the mean of its divisors is an integer number (118318320).

Almost surely, 2^3840064240 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 3840064240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4732732800).

3840064240 is an abundant number, since it is smaller than the sum of its proper divisors (5625401360).

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

3840064240 is a wasteful number, since it uses less digits than its factorization.

3840064240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41930 (or 41924 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 31.

The square root of 3840064240 is about 61968.2518714220. The cubic root of 3840064240 is about 1565.9557887486.

The spelling of 3840064240 in words is "three billion, eight hundred forty million, sixty-four thousand, two hundred forty".