3980105388000 has 576 divisors, whose sum is σ = 16161222010752. Its totient is φ = 908728934400.

The previous prime is 3980105387989. The next prime is 3980105388013. The reversal of 3980105388000 is 8835010893.

3980105388000 is a `hidden beast` number, since 39 + 8 + 0 + 1 + 0 + 538 + 80 + 0 + 0 = 666.

3980105388000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 240147714 + ... + 240164286.

It is an arithmetic number, because the mean of its divisors is an integer number (28057677102).

Almost surely, 2^{3980105388000} is an apocalyptic number.

3980105388000 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 3980105388000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8080611005376).

3980105388000 is an abundant number, since it is smaller than the sum of its proper divisors (12181116622752).

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

3980105388000 is a wasteful number, since it uses less digits than its factorization.

3980105388000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17564 (or 17543 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 3980105388000 in words is "three trillion, nine hundred eighty billion, one hundred five million, three hundred eighty-eight thousand".