3359266947360 has 288 divisors, whose sum is σ = 12188628990720. Its totient is φ = 839581016064.

The previous prime is 3359266947353. The next prime is 3359266947383. The reversal of 3359266947360 is 637496629533.

It is a happy number.

3359266947360 is a `hidden beast` number, since 3 + 3 + 5 + 9 + 266 + 9 + 4 + 7 + 360 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×3359266947360² (a number of 26 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 5563639 + ... + 6137801.

It is an arithmetic number, because the mean of its divisors is an integer number (42321628440).

Almost surely, 2^{3359266947360} is an apocalyptic number.

3359266947360 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 3359266947360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6094314495360).

3359266947360 is an abundant number, since it is smaller than the sum of its proper divisors (8829362043360).

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

3359266947360 is a wasteful number, since it uses less digits than its factorization.

3359266947360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 574440 (or 574429 counting only the distinct ones).

The product of its (nonzero) digits is 132269760, while the sum is 63.

The spelling of 3359266947360 in words is "three trillion, three hundred fifty-nine billion, two hundred sixty-six million, nine hundred forty-seven thousand, three hundred sixty".