3346060682560 has 224 divisors, whose sum is σ = 8343034172928. Its totient is φ = 1276889579520.

The previous prime is 3346060682557. The next prime is 3346060682567. The reversal of 3346060682560 is 652860606433.

It is a super-2 number, since 2×3346060682560² (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 (3346060682567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1249927942 + ... + 1249930618.

It is an arithmetic number, because the mean of its divisors is an integer number (37245688272).

Almost surely, 2^{3346060682560} 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 3346060682560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4171517086464).

3346060682560 is an abundant number, since it is smaller than the sum of its proper divisors (4996973490368).

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

3346060682560 is a wasteful number, since it uses less digits than its factorization.

3346060682560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4809 (or 4799 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 49.

The spelling of 3346060682560 in words is "three trillion, three hundred forty-six billion, sixty million, six hundred eighty-two thousand, five hundred sixty".