3546689664 has 192 divisors, whose sum is σ = 11133357120. Its totient is φ = 979937280.

The previous prime is 3546689659. The next prime is 3546689737. The reversal of 3546689664 is 4669866453.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2582482 + ... + 2583854.

It is an arithmetic number, because the mean of its divisors is an integer number (57986235).

Almost surely, 2^3546689664 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 3546689664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5566678560).

3546689664 is an abundant number, since it is smaller than the sum of its proper divisors (7586667456).

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

3546689664 is a wasteful number, since it uses less digits than its factorization.

3546689664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1459 (or 1416 counting only the distinct ones).

The product of its digits is 22394880, while the sum is 57.

The square root of 3546689664 is about 59554.0902373632. The cubic root of 3546689664 is about 1525.0159867893.

The spelling of 3546689664 in words is "three billion, five hundred forty-six million, six hundred eighty-nine thousand, six hundred sixty-four".