3988634166 has 192 divisors, whose sum is σ = 10230105600. Its totient is φ = 1110412800.

The previous prime is 3988634149. The next prime is 3988634183. The reversal of 3988634166 is 6614368893.

It is an interprime number because it is at equal distance from previous prime (3988634149) and next prime (3988634183).

It is a super-3 number, since 3×3988634166³ (a number of 30 digits) contains 333 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29114050 + ... + 29114186.

It is an arithmetic number, because the mean of its divisors is an integer number (53281800).

Almost surely, 2^3988634166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3988634166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5115052800).

3988634166 is an abundant number, since it is smaller than the sum of its proper divisors (6241471434).

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

3988634166 is a wasteful number, since it uses less digits than its factorization.

3988634166 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 352 counting only the distinct ones).

The product of its digits is 4478976, while the sum is 54.

The square root of 3988634166 is about 63155.6344754765. The cubic root of 3988634166 is about 1585.8961142568.

The spelling of 3988634166 in words is "three billion, nine hundred eighty-eight million, six hundred thirty-four thousand, one hundred sixty-six".