3343807217664 has 153 divisors (see below), whose sum is σ = 9663872563189. Its totient is φ = 1114134282240.

The previous prime is 3343807217657. The next prime is 3343807217711. The reversal of 3343807217664 is 4667127083433.

The square root of 3343807217664 is 1828608.

It is a perfect power (a square), and thus also a powerful number.

3343807217664 is a `hidden beast` number, since 3 + 34 + 380 + 7 + 2 + 176 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2808152064 + 3340999065600 = 52992^2 + 1827840^2 .

It is a super-2 number, since 2×3343807217664² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 3343807217664.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1404369754 + ... + 1404372134.

Almost surely, 2^{3343807217664} is an apocalyptic number.

3343807217664 is the 1828608-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3343807217664

3343807217664 is an abundant number, since it is smaller than the sum of its proper divisors (6320065345525).

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

3343807217664 is an frugal number, since it uses more digits than its factorization.

3343807217664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4800 (or 2386 counting only the distinct ones).

The product of its (nonzero) digits is 12192768, while the sum is 54.

The spelling of 3343807217664 in words is "three trillion, three hundred forty-three billion, eight hundred seven million, two hundred seventeen thousand, six hundred sixty-four".