3441981440 has 96 divisors (see below), whose sum is σ = 8451883440. Its totient is φ = 1344602112.

The previous prime is 3441981421. The next prime is 3441981481. The reversal of 3441981440 is 441891443.

It is a super-3 number, since 3×3441981440³ (a number of 30 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3441981394 and 3441981403.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 436412 + ... + 444228.

Almost surely, 2^3441981440 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 3441981440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4225941720).

3441981440 is an abundant number, since it is smaller than the sum of its proper divisors (5009902000).

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

3441981440 is an equidigital number, since it uses as much as digits as its factorization.

3441981440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7887 (or 7867 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 38.

The square root of 3441981440 is about 58668.4023985654. The cubic root of 3441981440 is about 1509.8582443715.

The spelling of 3441981440 in words is "three billion, four hundred forty-one million, nine hundred eighty-one thousand, four hundred forty".