3444077440 has 64 divisors (see below), whose sum is σ = 8298524160. Its totient is φ = 1366751232.

The previous prime is 3444077437. The next prime is 3444077453. The reversal of 3444077440 is 447704443.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3444077440.

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, 60094 + ... + 102466.

It is an arithmetic number, because the mean of its divisors is an integer number (129664440).

Almost surely, 2^3444077440 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 3444077440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4149262080).

3444077440 is an abundant number, since it is smaller than the sum of its proper divisors (4854446720).

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

3444077440 is a wasteful number, since it uses less digits than its factorization.

3444077440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42519 (or 42507 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 37.

The square root of 3444077440 is about 58686.2627878109. The cubic root of 3444077440 is about 1510.1646590318.

The spelling of 3444077440 in words is "three billion, four hundred forty-four million, seventy-seven thousand, four hundred forty".