3817135307328 has 224 divisors, whose sum is σ = 11687231302656. Its totient is φ = 1076928141312.

The previous prime is 3817135307327. The next prime is 3817135307353. The reversal of 3817135307328 is 8237035317183.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is not an unprimeable number, because it can be changed into a prime (3817135307327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 255781275 + ... + 255796197.

It is an arithmetic number, because the mean of its divisors is an integer number (52175139744).

Almost surely, 2^{3817135307328} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3817135307328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5843615651328).

3817135307328 is an abundant number, since it is smaller than the sum of its proper divisors (7870095995328).

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

3817135307328 is a wasteful number, since it uses less digits than its factorization.

3817135307328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17321 (or 17311 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 51.

The spelling of 3817135307328 in words is "three trillion, eight hundred seventeen billion, one hundred thirty-five million, three hundred seven thousand, three hundred twenty-eight".