3840712704 has 168 divisors, whose sum is σ = 11217177972. Its totient is φ = 1266155520.

The previous prime is 3840712703. The next prime is 3840712717. The reversal of 3840712704 is 4072170483.

It is a happy number.

3840712704 is a `hidden beast` number, since 384 + 0 + 7 + 1 + 270 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3208089600 + 632623104 = 56640^2 + 25152^2 .

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 (3840712703) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8331034 + ... + 8331494.

Almost surely, 2^3840712704 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 3840712704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5608588986).

3840712704 is an abundant number, since it is smaller than the sum of its proper divisors (7376465268).

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

3840712704 is a wasteful number, since it uses less digits than its factorization.

3840712704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 606 (or 579 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 3840712704 is about 61973.4838781878. The cubic root of 3840712704 is about 1566.0439303991.

The spelling of 3840712704 in words is "three billion, eight hundred forty million, seven hundred twelve thousand, seven hundred four".