3988314340000 has 240 divisors, whose sum is σ = 9954042436800. Its totient is φ = 1572300800000.

The previous prime is 3988314339973. The next prime is 3988314340013. The reversal of 3988314340000 is 434138893.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 745337325 + ... + 745342675.

It is an arithmetic number, because the mean of its divisors is an integer number (41475176820).

Almost surely, 2^{3988314340000} 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 3988314340000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4977021218400).

3988314340000 is an abundant number, since it is smaller than the sum of its proper divisors (5965728096800).

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

3988314340000 is an equidigital number, since it uses as much as digits as its factorization.

3988314340000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5913 (or 5890 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 43.

Adding to 3988314340000 its reverse (434138893), we get a palindrome (3988748478893).

The spelling of 3988314340000 in words is "three trillion, nine hundred eighty-eight billion, three hundred fourteen million, three hundred forty thousand".