3981938688 has 312 divisors, whose sum is σ = 14168202048. Its totient is φ = 1049296896.

The previous prime is 3981938683. The next prime is 3981938689. The reversal of 3981938688 is 8868391893.

3981938688 is a `hidden beast` number, since 398 + 1 + 93 + 86 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (312).

It is a super-2 number, since 2×3981938688² = 31711671429982322688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (3981938683) 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 23 ways as a sum of consecutive naturals, for example, 3354031 + ... + 3355217.

It is an arithmetic number, because the mean of its divisors is an integer number (45410904).

Almost surely, 2^3981938688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3981938688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7084101024).

3981938688 is an abundant number, since it is smaller than the sum of its proper divisors (10186263360).

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

3981938688 is a wasteful number, since it uses less digits than its factorization.

3981938688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1237 (or 1212 counting only the distinct ones).

The product of its digits is 17915904, while the sum is 63.

The square root of 3981938688 is about 63102.6044470432. The cubic root of 3981938688 is about 1585.0082347557.

The spelling of 3981938688 in words is "three billion, nine hundred eighty-one million, nine hundred thirty-eight thousand, six hundred eighty-eight".