3217127636040 has 512 divisors, whose sum is σ = 11138881536000. Its totient is φ = 737936179200.

The previous prime is 3217127636027. The next prime is 3217127636087. The reversal of 3217127636040 is 406367217123.

It is a junction number, because it is equal to n+sod(n) for n = 3217127635983 and 3217127636001.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 397712316 + ... + 397720404.

It is an arithmetic number, because the mean of its divisors is an integer number (21755628000).

Almost surely, 2^{3217127636040} is an apocalyptic number.

3217127636040 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 3217127636040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5569440768000).

3217127636040 is an abundant number, since it is smaller than the sum of its proper divisors (7921753899960).

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

3217127636040 is a wasteful number, since it uses less digits than its factorization.

3217127636040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8501 (or 8497 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 42.

The spelling of 3217127636040 in words is "three trillion, two hundred seventeen billion, one hundred twenty-seven million, six hundred thirty-six thousand, forty".