3843008064 has 441 divisors, whose sum is σ = 13632767121. Its totient is φ = 1071221760.

The previous prime is 3843008047. The next prime is 3843008119. The reversal of 3843008064 is 4608003483.

The square root of 3843008064 is 61992.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 185177664 + 3657830400 = 13608^2 + 60480^2 .

It is a tau number, because it is divible by the number of its divisors (441).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 93731884 + ... + 93731924.

Almost surely, 2^3843008064 is an apocalyptic number.

3843008064 is the 61992-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3843008064

3843008064 is an abundant number, since it is smaller than the sum of its proper divisors (9789759057).

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

3843008064 is an frugal number, since it uses more digits than its factorization.

3843008064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The cubic root of 3843008064 is about 1566.3558446203.

Multiplying 3843008064 by its sum of digits (36), we get a square (138348290304 = 371952²).

3843008064 divided by its sum of digits (36) gives a square (106750224 = 10332²).

The spelling of 3843008064 in words is "three billion, eight hundred forty-three million, eight thousand, sixty-four".