3381545664 has 168 divisors, whose sum is σ = 11564447280. Its totient is φ = 966131712.

The previous prime is 3381545663. The next prime is 3381545669. The reversal of 3381545664 is 4665451833.

3381545664 is a `hidden beast` number, since 3 + 3 + 81 + 5 + 4 + 566 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×3381545664² = 22869702155434401792, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3381545663) by changing a digit.

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, 64704 + ... + 104640.

Almost surely, 2^3381545664 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 3381545664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5782223640).

3381545664 is an abundant number, since it is smaller than the sum of its proper divisors (8182901616).

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

3381545664 is a wasteful number, since it uses less digits than its factorization.

3381545664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39972 (or 39949 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 45.

The square root of 3381545664 is about 58151.0590101333. The cubic root of 3381545664 is about 1500.9691017597.

The spelling of 3381545664 in words is "three billion, three hundred eighty-one million, five hundred forty-five thousand, six hundred sixty-four".