3986838240 has 384 divisors, whose sum is σ = 15754798080. Its totient is φ = 823296000.

The previous prime is 3986838197. The next prime is 3986838257. The reversal of 3986838240 is 428386893.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9942040 + ... + 9942440.

It is an arithmetic number, because the mean of its divisors is an integer number (41028120).

Almost surely, 2^3986838240 is an apocalyptic number.

3986838240 is a gapful number since it is divisible by the number (30) 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 3986838240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7877399040).

3986838240 is an abundant number, since it is smaller than the sum of its proper divisors (11767959840).

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

3986838240 is a wasteful number, since it uses less digits than its factorization.

3986838240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 706 (or 698 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 51.

The square root of 3986838240 is about 63141.4146182995. The cubic root of 3986838240 is about 1585.6580561879.

The spelling of 3986838240 in words is "three billion, nine hundred eighty-six million, eight hundred thirty-eight thousand, two hundred forty".