3988982709600 has 1728 divisors, whose sum is σ = 16534341734400. Its totient is φ = 833985331200.

The previous prime is 3988982709599. The next prime is 3988982709601. The reversal of 3988982709600 is 69072898893.

It is an interprime number because it is at equal distance from previous prime (3988982709599) and next prime (3988982709601).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3988982709601) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 9212430984 + ... + 9212431416.

It is an arithmetic number, because the mean of its divisors is an integer number (9568484800).

Almost surely, 2^{3988982709600} is an apocalyptic number.

3988982709600 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 3988982709600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8267170867200).

3988982709600 is an abundant number, since it is smaller than the sum of its proper divisors (12545359024800).

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

3988982709600 is a wasteful number, since it uses less digits than its factorization.

3988982709600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 546 (or 500 counting only the distinct ones).

The product of its (nonzero) digits is 94058496, while the sum is 69.

The spelling of 3988982709600 in words is "three trillion, nine hundred eighty-eight billion, nine hundred eighty-two million, seven hundred nine thousand, six hundred".