3441335040 has 432 divisors, whose sum is σ = 13994940960. Its totient is φ = 769720320.

The previous prime is 3441335011. The next prime is 3441335063. The reversal of 3441335040 is 405331443.

It is a junction number, because it is equal to n+sod(n) for n = 3441334995 and 3441335013.

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, 1646316 + ... + 1648404.

Almost surely, 2^3441335040 is an apocalyptic number.

3441335040 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 3441335040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6997470480).

3441335040 is an abundant number, since it is smaller than the sum of its proper divisors (10553605920).

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

3441335040 is a wasteful number, since it uses less digits than its factorization.

3441335040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2140 (or 2123 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 3441335040 is about 58662.8932119786. The cubic root of 3441335040 is about 1509.7637219297.

Adding to 3441335040 its reverse (405331443), we get a palindrome (3846666483).

The spelling of 3441335040 in words is "three billion, four hundred forty-one million, three hundred thirty-five thousand, forty".