3346316064 has 288 divisors, whose sum is σ = 12148456320. Its totient is φ = 882358272.

The previous prime is 3346316047. The next prime is 3346316093. The reversal of 3346316064 is 4606136433.

3346316064 is a `hidden beast` number, since 3 + 3 + 46 + 3 + 1 + 606 + 4 = 666.

3346316064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-2 number, since 2×3346316064² = 22395662400368904192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 705252 + ... + 709980.

It is an arithmetic number, because the mean of its divisors is an integer number (42182140).

Almost surely, 2^3346316064 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 3346316064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6074228160).

3346316064 is an abundant number, since it is smaller than the sum of its proper divisors (8802140256).

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

3346316064 is a wasteful number, since it uses less digits than its factorization.

3346316064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4774 (or 4754 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 36.

The square root of 3346316064 is about 57847.3514000425. The cubic root of 3346316064 is about 1495.7384321588.

The spelling of 3346316064 in words is "three billion, three hundred forty-six million, three hundred sixteen thousand, sixty-four".