3980288344356 has 405 divisors, whose sum is σ = 11200326250113. Its totient is φ = 1232471972160.

The previous prime is 3980288344273. The next prime is 3980288344421. The reversal of 3980288344356 is 6534438820893.

It is a happy number.

The square root of 3980288344356 is 1995066.

It is a perfect power (a square), and thus also a powerful number.

3980288344356 is a `hidden beast` number, since 3 + 9 + 8 + 0 + 288 + 344 + 3 + 5 + 6 = 666.

3980288344356 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 129431574756 + 3850856769600 = 359766^2 + 1962360^2 .

It is a junction number, because it is equal to n+sod(n) for n = 3980288344293 and 3980288344302.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 50383396725 + ... + 50383396803.

Almost surely, 2^{3980288344356} is an apocalyptic number.

3980288344356 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

3980288344356 is the 1995066-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3980288344356

3980288344356 is an abundant number, since it is smaller than the sum of its proper divisors (7220037905757).

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

3980288344356 is an equidigital number, since it uses as much as digits as its factorization.

3980288344356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 119439360, while the sum is 63.

The spelling of 3980288344356 in words is "three trillion, nine hundred eighty billion, two hundred eighty-eight million, three hundred forty-four thousand, three hundred fifty-six".