3563460768 has 48 divisors (see below), whose sum is σ = 10690384320. Its totient is φ = 1018131456.

The previous prime is 3563460767. The next prime is 3563460781. The reversal of 3563460768 is 8670643653.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (3563460767) 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, 2650713 + ... + 2652056.

It is an arithmetic number, because the mean of its divisors is an integer number (222716340).

Almost surely, 2^3563460768 is an apocalyptic number.

It is an amenable number.

3563460768 is an abundant number, since it is smaller than the sum of its proper divisors (7126923552).

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

3563460768 is a wasteful number, since it uses less digits than its factorization.

3563460768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5302789 (or 5302781 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 48.

The square root of 3563460768 is about 59694.7298176313. The cubic root of 3563460768 is about 1527.4159706196.

The spelling of 3563460768 in words is "three billion, five hundred sixty-three million, four hundred sixty thousand, seven hundred sixty-eight".