3986130624 has 224 divisors, whose sum is σ = 12983016960. Its totient is φ = 1053376512.

The previous prime is 3986130623. The next prime is 3986130637. The reversal of 3986130624 is 4260316893.

3986130624 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (3986130623) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1346554 + ... + 1349510.

Almost surely, 2^3986130624 is an apocalyptic number.

3986130624 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3986130624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6491508480).

3986130624 is an abundant number, since it is smaller than the sum of its proper divisors (8996886336).

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

3986130624 is a wasteful number, since it uses less digits than its factorization.

3986130624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3055 (or 3045 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 42.

The square root of 3986130624 is about 63135.8109475122. The cubic root of 3986130624 is about 1585.5642388709.

The spelling of 3986130624 in words is "three billion, nine hundred eighty-six million, one hundred thirty thousand, six hundred twenty-four".