3982886820 has 432 divisors, whose sum is σ = 14556132864. Its totient is φ = 876902400.

The previous prime is 3982886813. The next prime is 3982886861. The reversal of 3982886820 is 286882893.

3982886820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 11477887 + ... + 11478233.

It is an arithmetic number, because the mean of its divisors is an integer number (33694752).

Almost surely, 2^3982886820 is an apocalyptic number.

3982886820 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 3982886820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7278066432).

3982886820 is an abundant number, since it is smaller than the sum of its proper divisors (10573246044).

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

3982886820 is a wasteful number, since it uses less digits than its factorization.

3982886820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The square root of 3982886820 is about 63110.1166216638. The cubic root of 3982886820 is about 1585.1340258912.

The spelling of 3982886820 in words is "three billion, nine hundred eighty-two million, eight hundred eighty-six thousand, eight hundred twenty".