3986324832 has 288 divisors, whose sum is σ = 13072389120. Its totient is φ = 1056706560.

The previous prime is 3986324803. The next prime is 3986324851. The reversal of 3986324832 is 2384236893.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6317157 + ... + 6317787.

It is an arithmetic number, because the mean of its divisors is an integer number (45390240).

Almost surely, 2^3986324832 is an apocalyptic number.

3986324832 is a gapful number since it is divisible by the number (32) 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 3986324832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6536194560).

3986324832 is an abundant number, since it is smaller than the sum of its proper divisors (9086064288).

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

3986324832 is a wasteful number, since it uses less digits than its factorization.

3986324832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 754 (or 739 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 48.

The square root of 3986324832 is about 63137.3489465625. The cubic root of 3986324832 is about 1585.5899885087.

The spelling of 3986324832 in words is "three billion, nine hundred eighty-six million, three hundred twenty-four thousand, eight hundred thirty-two".