3441216540 has 96 divisors (see below), whose sum is σ = 10161285120. Its totient is φ = 867753216.

The previous prime is 3441216539. The next prime is 3441216563. The reversal of 3441216540 is 456121443.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 3441216498 and 3441216507.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 689494 + ... + 694466.

It is an arithmetic number, because the mean of its divisors is an integer number (105846720).

Almost surely, 2^3441216540 is an apocalyptic number.

3441216540 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 3441216540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5080642560).

3441216540 is an abundant number, since it is smaller than the sum of its proper divisors (6720068580).

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

3441216540 is a wasteful number, since it uses less digits than its factorization.

3441216540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5611 (or 5609 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 3441216540 is about 58661.8831951379. The cubic root of 3441216540 is about 1509.7463925064.

Adding to 3441216540 its reverse (456121443), we get a palindrome (3897337983).

The spelling of 3441216540 in words is "three billion, four hundred forty-one million, two hundred sixteen thousand, five hundred forty".