3441104040 has 256 divisors, whose sum is σ = 11729836800. Its totient is φ = 799948800.

The previous prime is 3441104039. The next prime is 3441104059. The reversal of 3441104040 is 404011443.

It is a junction number, because it is equal to n+sod(n) for n = 3441103998 and 3441104016.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9225294 + ... + 9225666.

It is an arithmetic number, because the mean of its divisors is an integer number (45819675).

Almost surely, 2^3441104040 is an apocalyptic number.

3441104040 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 3441104040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5864918400).

3441104040 is an abundant number, since it is smaller than the sum of its proper divisors (8288732760).

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

3441104040 is a wasteful number, since it uses less digits than its factorization.

3441104040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 668 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 3441104040 is about 58660.9243022985. The cubic root of 3441104040 is about 1509.7299401541.

Adding to 3441104040 its reverse (404011443), we get a palindrome (3845115483).

The spelling of 3441104040 in words is "three billion, four hundred forty-one million, one hundred four thousand, forty".