3888769600 has 63 divisors (see below), whose sum is σ = 9574945417. Its totient is φ = 1554510080.

The previous prime is 3888769589. The next prime is 3888769607. The reversal of 3888769600 is 69678883.

The square root of 3888769600 is 62360.

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

3888769600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 1399957056 + 2488812544 = 37416^2 + 49888^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3888769607) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2493621 + ... + 2495179.

Almost surely, 2^3888769600 is an apocalyptic number.

3888769600 is the 62360-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3888769600

3888769600 is an abundant number, since it is smaller than the sum of its proper divisors (5686175817).

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

3888769600 is an frugal number, since it uses more digits than its factorization.

3888769600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3140 (or 1566 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 55.

The cubic root of 3888769600 is about 1572.5485808419.

The spelling of 3888769600 in words is "three billion, eight hundred eighty-eight million, seven hundred sixty-nine thousand, six hundred".