3440784768 has 64 divisors (see below), whose sum is σ = 9677225520. Its totient is φ = 1079459840.

The previous prime is 3440784749. The next prime is 3440784773. The reversal of 3440784768 is 8674870443.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 3440784768.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 257013 + ... + 270068.

Almost surely, 2^3440784768 is an apocalyptic number.

It is an amenable number.

3440784768 is an abundant number, since it is smaller than the sum of its proper divisors (6236440752).

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

3440784768 is a wasteful number, since it uses less digits than its factorization.

3440784768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527115 (or 527103 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 51.

The square root of 3440784768 is about 58658.2029046237. The cubic root of 3440784768 is about 1509.6832468642.

The spelling of 3440784768 in words is "three billion, four hundred forty million, seven hundred eighty-four thousand, seven hundred sixty-eight".