3634464768 has 96 divisors (see below), whose sum is σ = 10570603680. Its totient is φ = 1101332480.

The previous prime is 3634464767. The next prime is 3634464809. The reversal of 3634464768 is 8674644363.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 3634464768.

It is not an unprimeable number, because it can be changed into a prime (3634464767) 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, 40696 + ... + 94472.

It is an arithmetic number, because the mean of its divisors is an integer number (110110455).

Almost surely, 2^3634464768 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 3634464768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5285301840).

3634464768 is an abundant number, since it is smaller than the sum of its proper divisors (6936138912).

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

3634464768 is a wasteful number, since it uses less digits than its factorization.

3634464768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53813 (or 53793 counting only the distinct ones).

The product of its digits is 6967296, while the sum is 51.

The square root of 3634464768 is about 60286.5222748833. The cubic root of 3634464768 is about 1537.4942057023.

The spelling of 3634464768 in words is "three billion, six hundred thirty-four million, four hundred sixty-four thousand, seven hundred sixty-eight".