3713808384 has 288 divisors, whose sum is σ = 12610306800. Its totient is φ = 1038090240.

The previous prime is 3713808383. The next prime is 3713808403. The reversal of 3713808384 is 4838083173.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3713808383) 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 23 ways as a sum of consecutive naturals, for example, 2635072 + ... + 2636480.

Almost surely, 2^3713808384 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 3713808384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6305153400).

3713808384 is an abundant number, since it is smaller than the sum of its proper divisors (8896498416).

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

3713808384 is a wasteful number, since it uses less digits than its factorization.

3713808384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1461 (or 1438 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 3713808384 is about 60941.0238181145. The cubic root of 3713808384 is about 1548.6020533398.

The spelling of 3713808384 in words is "three billion, seven hundred thirteen million, eight hundred eight thousand, three hundred eighty-four".