3527568768 has 64 divisors (see below), whose sum is σ = 9396011520. Its totient is φ = 1172605440.

The previous prime is 3527568763. The next prime is 3527568791. The reversal of 3527568768 is 8678657253.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3527568763) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 128413 + ... + 153443.

It is an arithmetic number, because the mean of its divisors is an integer number (146812680).

Almost surely, 2^3527568768 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 3527568768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4698005760).

3527568768 is an abundant number, since it is smaller than the sum of its proper divisors (5868442752).

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

3527568768 is a wasteful number, since it uses less digits than its factorization.

3527568768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25415 (or 25403 counting only the distinct ones).

The product of its digits is 16934400, while the sum is 57.

The square root of 3527568768 is about 59393.3394245516. The cubic root of 3527568768 is about 1522.2704941194.

The spelling of 3527568768 in words is "three billion, five hundred twenty-seven million, five hundred sixty-eight thousand, seven hundred sixty-eight".