3538249728660 has 288 divisors, whose sum is σ = 11442162985344. Its totient is φ = 881943552000.

The previous prime is 3538249728623. The next prime is 3538249728667. The reversal of 3538249728660 is 668279428353.

It is a happy number.

3538249728660 is a `hidden beast` number, since 3 + 5 + 3 + 8 + 2 + 497 + 2 + 86 + 60 = 666.

It is a super-2 number, since 2×3538249728660² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3538249728667) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 317013480 + ... + 317024640.

It is an arithmetic number, because the mean of its divisors is an integer number (39729732588).

Almost surely, 2^{3538249728660} is an apocalyptic number.

3538249728660 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 3538249728660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5721081492672).

3538249728660 is an abundant number, since it is smaller than the sum of its proper divisors (7903913256684).

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

3538249728660 is a wasteful number, since it uses less digits than its factorization.

3538249728660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11895 (or 11890 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 63.

The spelling of 3538249728660 in words is "three trillion, five hundred thirty-eight billion, two hundred forty-nine million, seven hundred twenty-eight thousand, six hundred sixty".