3317900253696 has 480 divisors, whose sum is σ = 11054418186240. Its totient is φ = 938411163648.

The previous prime is 3317900253683. The next prime is 3317900253697. The reversal of 3317900253696 is 6963520097133.

3317900253696 is a `hidden beast` number, since 3 + 3 + 17 + 9 + 0 + 0 + 2 + 536 + 96 = 666.

It is a super-2 number, since 2×3317900253696² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3317900253697) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3396007960 + ... + 3396008936.

It is an arithmetic number, because the mean of its divisors is an integer number (23030037888).

Almost surely, 2^{3317900253696} is an apocalyptic number.

3317900253696 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 3317900253696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5527209093120).

3317900253696 is an abundant number, since it is smaller than the sum of its proper divisors (7736517932544).

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

3317900253696 is a wasteful number, since it uses less digits than its factorization.

3317900253696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1964 (or 1945 counting only the distinct ones).

The product of its (nonzero) digits is 5511240, while the sum is 54.

The spelling of 3317900253696 in words is "three trillion, three hundred seventeen billion, nine hundred million, two hundred fifty-three thousand, six hundred ninety-six".