3980377128816 has 240 divisors, whose sum is σ = 12216896640000. Its totient is φ = 1199764500480.

The previous prime is 3980377128787. The next prime is 3980377128823. The reversal of 3980377128816 is 6188217730893.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 449096001 + ... + 449104863.

It is an arithmetic number, because the mean of its divisors is an integer number (50903736000).

Almost surely, 2^{3980377128816} is an apocalyptic number.

3980377128816 is a gapful number since it is divisible by the number (36) 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 3980377128816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6108448320000).

3980377128816 is an abundant number, since it is smaller than the sum of its proper divisors (8236519511184).

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

3980377128816 is a wasteful number, since it uses less digits than its factorization.

3980377128816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10364 (or 10355 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 63.

The spelling of 3980377128816 in words is "three trillion, nine hundred eighty billion, three hundred seventy-seven million, one hundred twenty-eight thousand, eight hundred sixteen".