3545641728 has 144 divisors (see below), whose sum is σ = 10941450240. Its totient is φ = 1130443776.

The previous prime is 3545641727. The next prime is 3545641733. The reversal of 3545641728 is 8271465453.

3545641728 is a `hidden beast` number, since 3 + 54 + 564 + 17 + 28 = 666.

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

It is a super-3 number, since 3×3545641728³ (a number of 30 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (3545641727) 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 15 ways as a sum of consecutive naturals, for example, 147825 + ... + 170127.

Almost surely, 2^3545641728 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 3545641728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5470725120).

3545641728 is an abundant number, since it is smaller than the sum of its proper divisors (7395808512).

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

3545641728 is a wasteful number, since it uses less digits than its factorization.

3545641728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22351 (or 22331 counting only the distinct ones).

The product of its digits is 806400, while the sum is 45.

The square root of 3545641728 is about 59545.2914007481. The cubic root of 3545641728 is about 1524.8657737993.

The spelling of 3545641728 in words is "three billion, five hundred forty-five million, six hundred forty-one thousand, seven hundred twenty-eight".