3444414113340 has 144 divisors (see below), whose sum is σ = 10810408845600. Its totient is φ = 886667410944.

The previous prime is 3444414113339. The next prime is 3444414113389. The reversal of 3444414113340 is 433114144443.

3444414113340 is a `hidden beast` number, since 3 + 4 + 4 + 441 + 41 + 133 + 40 = 666.

3444414113340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3444414113295 and 3444414113304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28351846 + ... + 28473074.

It is an arithmetic number, because the mean of its divisors is an integer number (75072283650).

Almost surely, 2^{3444414113340} is an apocalyptic number.

3444414113340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3444414113340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5405204422800).

3444414113340 is an abundant number, since it is smaller than the sum of its proper divisors (7365994732260).

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

3444414113340 is a wasteful number, since it uses less digits than its factorization.

3444414113340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126716 (or 126711 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 3444414113340 its reverse (433114144443), we get a palindrome (3877528257783).

The spelling of 3444414113340 in words is "three trillion, four hundred forty-four billion, four hundred fourteen million, one hundred thirteen thousand, three hundred forty".