3444351351440 has 40 divisors (see below), whose sum is σ = 8010057141240. Its totient is φ = 1377406734336.

The previous prime is 3444351351431. The next prime is 3444351351481. The reversal of 3444351351440 is 441531534443.

3444351351440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 547860510976 + 2896490840464 = 740176^2 + 1701908^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4883339 + ... + 5543978.

It is an arithmetic number, because the mean of its divisors is an integer number (200251428531).

Almost surely, 2^{3444351351440} is an apocalyptic number.

It is an amenable number.

3444351351440 is an abundant number, since it is smaller than the sum of its proper divisors (4565705789800).

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

3444351351440 is a wasteful number, since it uses less digits than its factorization.

3444351351440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10431459 (or 10431453 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 41.

Adding to 3444351351440 its reverse (441531534443), we get a palindrome (3885882885883).

The spelling of 3444351351440 in words is "three trillion, four hundred forty-four billion, three hundred fifty-one million, three hundred fifty-one thousand, four hundred forty".