3886544130624 has 147 divisors (see below), whose sum is σ = 11564518895427. Its totient is φ = 1295372767104.

The previous prime is 3886544130607. The next prime is 3886544130629. The reversal of 3886544130624 is 4260314456883.

The square root of 3886544130624 is 1971432.

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

3886544130624 is a `hidden beast` number, since 3 + 8 + 8 + 6 + 5 + 4 + 4 + 1 + 3 + 0 + 624 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (3886544130629) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 425824749 + ... + 425833875.

Almost surely, 2^{3886544130624} is an apocalyptic number.

3886544130624 is the 1971432-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3886544130624

3886544130624 is an abundant number, since it is smaller than the sum of its proper divisors (7677974764803).

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

3886544130624 is an frugal number, since it uses more digits than its factorization.

3886544130624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18284 (or 9132 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 54.

The spelling of 3886544130624 in words is "three trillion, eight hundred eighty-six billion, five hundred forty-four million, one hundred thirty thousand, six hundred twenty-four".