4038640704 has 168 divisors, whose sum is σ = 13480084800. Its totient is φ = 1132065792.

The previous prime is 4038640693. The next prime is 4038640709. The reversal of 4038640704 is 4070468304.

4038640704 is a `hidden beast` number, since 4 + 0 + 3 + 8 + 640 + 7 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

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 (4038640709) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 204247 + ... + 223145.

It is an arithmetic number, because the mean of its divisors is an integer number (80238600).

Almost surely, 2^4038640704 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 4038640704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6740042400).

4038640704 is an abundant number, since it is smaller than the sum of its proper divisors (9441444096).

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

4038640704 is a wasteful number, since it uses less digits than its factorization.

4038640704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18977 (or 18964 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 4038640704 is about 63550.3005815079. The cubic root of 4038640704 is about 1592.4962048431.

The spelling of 4038640704 in words is "four billion, thirty-eight million, six hundred forty thousand, seven hundred four".