3871969920 has 768 divisors, whose sum is σ = 16841260800. Its totient is φ = 798031872.

The previous prime is 3871969901. The next prime is 3871969921. The reversal of 3871969920 is 299691783.

It is a super-2 number, since 2×3871969920² = 29984302122769612800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3871969921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 43505236 + ... + 43505324.

It is an arithmetic number, because the mean of its divisors is an integer number (21928725).

Almost surely, 2^3871969920 is an apocalyptic number.

3871969920 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 3871969920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8420630400).

3871969920 is an abundant number, since it is smaller than the sum of its proper divisors (12969290880).

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

3871969920 is a wasteful number, since it uses less digits than its factorization.

3871969920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 54.

The square root of 3871969920 is about 62225.1550419925. The cubic root of 3871969920 is about 1570.2808157950.

The spelling of 3871969920 in words is "three billion, eight hundred seventy-one million, nine hundred sixty-nine thousand, nine hundred twenty".