3986688000 has 384 divisors, whose sum is σ = 13798512000. Its totient is φ = 1020723200.

The previous prime is 3986687941. The next prime is 3986688007. The reversal of 3986688000 is 8866893.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3986688007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22271911 + ... + 22272089.

It is an arithmetic number, because the mean of its divisors is an integer number (35933625).

Almost surely, 2^3986688000 is an apocalyptic number.

3986688000 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 3986688000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6899256000).

3986688000 is an abundant number, since it is smaller than the sum of its proper divisors (9811824000).

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

3986688000 is a wasteful number, since it uses less digits than its factorization.

3986688000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 48.

The square root of 3986688000 is about 63140.2248966536. The cubic root of 3986688000 is about 1585.6381379599.

The spelling of 3986688000 in words is "three billion, nine hundred eighty-six million, six hundred eighty-eight thousand".