3988103983920 has 1280 divisors, whose sum is σ = 17029967155200. Its totient is φ = 837389352960.

The previous prime is 3988103983867. The next prime is 3988103983933. The reversal of 3988103983920 is 293893018893.

3988103983920 is a `hidden beast` number, since 398 + 8 + 103 + 98 + 39 + 20 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 4857617110 + ... + 4857617930.

It is an arithmetic number, because the mean of its divisors is an integer number (13304661840).

Almost surely, 2^{3988103983920} is an apocalyptic number.

3988103983920 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 3988103983920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8514983577600).

3988103983920 is an abundant number, since it is smaller than the sum of its proper divisors (13041863171280).

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

3988103983920 is a wasteful number, since it uses less digits than its factorization.

3988103983920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1363 (or 1351 counting only the distinct ones).

The product of its (nonzero) digits is 20155392, while the sum is 63.

The spelling of 3988103983920 in words is "three trillion, nine hundred eighty-eight billion, one hundred three million, nine hundred eighty-three thousand, nine hundred twenty".