3839041600 has 63 divisors (see below), whose sum is σ = 9452544087. Its totient is φ = 1534625280.

The previous prime is 3839041589. The next prime is 3839041627. The reversal of 3839041600 is 61409383.

The square root of 3839041600 is 61960.

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

It can be written as a sum of positive squares in 4 ways, for example, as 349540416 + 3489501184 = 18696^2 + 59072^2 .

It is a Duffinian number.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 2477626 + ... + 2479174.

Almost surely, 2^3839041600 is an apocalyptic number.

3839041600 is the 61960-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3839041600

3839041600 is an abundant number, since it is smaller than the sum of its proper divisors (5613502487).

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

3839041600 is an frugal number, since it uses more digits than its factorization.

3839041600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3120 (or 1556 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 34.

The cubic root of 3839041600 is about 1565.8167675322.

The spelling of 3839041600 in words is "three billion, eight hundred thirty-nine million, forty-one thousand, six hundred".