3420444040 has 128 divisors (see below), whose sum is σ = 8556710400. Its totient is φ = 1222640640.

The previous prime is 3420444031. The next prime is 3420444043. The reversal of 3420444040 is 404440243.

It is a junction number, because it is equal to n+sod(n) for n = 3420443996 and 3420444014.

It is not an unprimeable number, because it can be changed into a prime (3420444043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2176455 + ... + 2178025.

It is an arithmetic number, because the mean of its divisors is an integer number (66849300).

Almost surely, 2^3420444040 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 3420444040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4278355200).

3420444040 is an abundant number, since it is smaller than the sum of its proper divisors (5136266360).

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

3420444040 is a wasteful number, since it uses less digits than its factorization.

3420444040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1727 (or 1723 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 25.

The square root of 3420444040 is about 58484.5624075277. The cubic root of 3420444040 is about 1506.7024571427.

Adding to 3420444040 its reverse (404440243), we get a palindrome (3824884283).

The spelling of 3420444040 in words is "three billion, four hundred twenty million, four hundred forty-four thousand, forty".