3391317706560 has 672 divisors, whose sum is σ = 12697327383552. Its totient is φ = 764585902080.

The previous prime is 3391317706559. The next prime is 3391317706577. The reversal of 3391317706560 is 656077131933.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1185359530 + ... + 1185362390.

It is an arithmetic number, because the mean of its divisors is an integer number (18894832416).

Almost surely, 2^{3391317706560} is an apocalyptic number.

3391317706560 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 3391317706560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6348663691776).

3391317706560 is an abundant number, since it is smaller than the sum of its proper divisors (9306009676992).

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

3391317706560 is a wasteful number, since it uses less digits than its factorization.

3391317706560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3231 (or 3214 counting only the distinct ones).

The product of its (nonzero) digits is 2143260, while the sum is 51.

The spelling of 3391317706560 in words is "three trillion, three hundred ninety-one billion, three hundred seventeen million, seven hundred six thousand, five hundred sixty".