3441556560 has 320 divisors, whose sum is σ = 11856741120. Its totient is φ = 825477120.

The previous prime is 3441556519. The next prime is 3441556577. The reversal of 3441556560 is 656551443.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

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, 32164027 + ... + 32164133.

It is an arithmetic number, because the mean of its divisors is an integer number (37052316).

Almost surely, 2^3441556560 is an apocalyptic number.

3441556560 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 3441556560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5928370560).

3441556560 is an abundant number, since it is smaller than the sum of its proper divisors (8415184560).

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

3441556560 is a wasteful number, since it uses less digits than its factorization.

3441556560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 39.

The square root of 3441556560 is about 58664.7812575825. The cubic root of 3441556560 is about 1509.7961159163.

The spelling of 3441556560 in words is "three billion, four hundred forty-one million, five hundred fifty-six thousand, five hundred sixty".