3442340440 has 192 divisors, whose sum is σ = 9986561280. Its totient is φ = 1037433600.

The previous prime is 3442340437. The next prime is 3442340449. The reversal of 3442340440 is 440432443.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 3442340399 and 3442340408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3442340449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2959299 + ... + 2960461.

It is an arithmetic number, because the mean of its divisors is an integer number (52013340).

Almost surely, 2^3442340440 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 3442340440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4993280640).

3442340440 is an abundant number, since it is smaller than the sum of its proper divisors (6544220840).

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

3442340440 is a wasteful number, since it uses less digits than its factorization.

3442340440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1254 (or 1219 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 28.

The square root of 3442340440 is about 58671.4618873605. The cubic root of 3442340440 is about 1509.9107354802.

Adding to 3442340440 its reverse (440432443), we get a palindrome (3882772883).

The spelling of 3442340440 in words is "three billion, four hundred forty-two million, three hundred forty thousand, four hundred forty".