3545568768 has 320 divisors, whose sum is σ = 11384271360. Its totient is φ = 959250432.

The previous prime is 3545568731. The next prime is 3545568781. The reversal of 3545568768 is 8678655453.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25879996 + ... + 25880132.

It is an arithmetic number, because the mean of its divisors is an integer number (35575848).

Almost surely, 2^3545568768 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 3545568768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5692135680).

3545568768 is an abundant number, since it is smaller than the sum of its proper divisors (7838702592).

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

3545568768 is a wasteful number, since it uses less digits than its factorization.

3545568768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 261 counting only the distinct ones).

The product of its digits is 24192000, while the sum is 57.

The square root of 3545568768 is about 59544.6787546965. The cubic root of 3545568768 is about 1524.8553144826.

The spelling of 3545568768 in words is "three billion, five hundred forty-five million, five hundred sixty-eight thousand, seven hundred sixty-eight".