3441559968 has 576 divisors, whose sum is σ = 13368499200. Its totient is φ = 836628480.

The previous prime is 3441559963. The next prime is 3441559969. The reversal of 3441559968 is 8699551443.

3441559968 is a `hidden beast` number, since 3 + 4 + 41 + 5 + 599 + 6 + 8 = 666.

It is a super-2 number, since 2×3441559968² = 23688670026680322048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (3441559963) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 19226503 + ... + 19226681.

It is an arithmetic number, because the mean of its divisors is an integer number (23209200).

Almost surely, 2^3441559968 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 3441559968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6684249600).

3441559968 is an abundant number, since it is smaller than the sum of its proper divisors (9926939232).

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

3441559968 is a wasteful number, since it uses less digits than its factorization.

3441559968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 219 counting only the distinct ones).

The product of its digits is 4665600, while the sum is 54.

The square root of 3441559968 is about 58664.8103039633. The cubic root of 3441559968 is about 1509.7966142745.

The spelling of 3441559968 in words is "three billion, four hundred forty-one million, five hundred fifty-nine thousand, nine hundred sixty-eight".