3441121440 has 192 divisors, whose sum is σ = 11476080000. Its totient is φ = 865234944.

The previous prime is 3441121393. The next prime is 3441121441. The reversal of 3441121440 is 441211443.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 3441121440.

It is not an unprimeable number, because it can be changed into a prime (3441121441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 595686 + ... + 601434.

It is an arithmetic number, because the mean of its divisors is an integer number (59771250).

Almost surely, 2^3441121440 is an apocalyptic number.

3441121440 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 3441121440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5738040000).

3441121440 is an abundant number, since it is smaller than the sum of its proper divisors (8034958560).

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

3441121440 is a wasteful number, since it uses less digits than its factorization.

3441121440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5839 (or 5831 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 3441121440 is about 58661.0726120824. The cubic root of 3441121440 is about 1509.7324848081.

Adding to 3441121440 its reverse (441211443), we get a palindrome (3882332883).

The spelling of 3441121440 in words is "three billion, four hundred forty-one million, one hundred twenty-one thousand, four hundred forty".