3340359106560 has 1632 divisors, whose sum is σ = 13991688741888. Its totient is φ = 721378344960.

The previous prime is 3340359106547. The next prime is 3340359106607. The reversal of 3340359106560 is 656019530433.

3340359106560 is a `hidden beast` number, since 3 + 3 + 4 + 0 + 3 + 591 + 0 + 6 + 56 + 0 = 666.

It is a super-2 number, since 2×3340359106560² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 47047311325 + ... + 47047311395.

Almost surely, 2^{3340359106560} is an apocalyptic number.

3340359106560 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 3340359106560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6995844370944).

3340359106560 is an abundant number, since it is smaller than the sum of its proper divisors (10651329635328).

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

3340359106560 is an equidigital number, since it uses as much as digits as its factorization.

3340359106560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 874800, while the sum is 45.

The spelling of 3340359106560 in words is "three trillion, three hundred forty billion, three hundred fifty-nine million, one hundred six thousand, five hundred sixty".