3466860768 has 144 divisors (see below), whose sum is σ = 11458661760. Its totient is φ = 973709568.

The previous prime is 3466860757. The next prime is 3466860773. The reversal of 3466860768 is 8670686643.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 104371 + ... + 133517.

It is an arithmetic number, because the mean of its divisors is an integer number (79574040).

Almost surely, 2^3466860768 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 3466860768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5729330880).

3466860768 is an abundant number, since it is smaller than the sum of its proper divisors (7991800992).

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

3466860768 is a wasteful number, since it uses less digits than its factorization.

3466860768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29229 (or 29218 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The square root of 3466860768 is about 58880.0540760621. The cubic root of 3466860768 is about 1513.4873664859.

The spelling of 3466860768 in words is "three billion, four hundred sixty-six million, eight hundred sixty thousand, seven hundred sixty-eight".