3545975664 has 320 divisors, whose sum is σ = 12809180160. Its totient is φ = 919987200.

The previous prime is 3545975639. The next prime is 3545975707. The reversal of 3545975664 is 4665795453.

3545975664 is a `hidden beast` number, since 3 + 545 + 97 + 5 + 6 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 3545975664.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4024504 + ... + 4025384.

It is an arithmetic number, because the mean of its divisors is an integer number (40028688).

Almost surely, 2^3545975664 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 3545975664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6404590080).

3545975664 is an abundant number, since it is smaller than the sum of its proper divisors (9263204496).

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

3545975664 is a wasteful number, since it uses less digits than its factorization.

3545975664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 938 (or 904 counting only the distinct ones).

The product of its digits is 13608000, while the sum is 54.

The square root of 3545975664 is about 59548.0953851590. The cubic root of 3545975664 is about 1524.9136439858.

The spelling of 3545975664 in words is "three billion, five hundred forty-five million, nine hundred seventy-five thousand, six hundred sixty-four".