3449446560 has 480 divisors, whose sum is σ = 14226347520. Its totient is φ = 770715648.

The previous prime is 3449446537. The next prime is 3449446573. The reversal of 3449446560 is 656449443.

3449446560 is a `hidden beast` number, since 3 + 4 + 49 + 4 + 46 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a zygodrome in base 9.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4263436 + ... + 4264244.

It is an arithmetic number, because the mean of its divisors is an integer number (29638224).

Almost surely, 2^3449446560 is an apocalyptic number.

3449446560 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 3449446560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7113173760).

3449446560 is an abundant number, since it is smaller than the sum of its proper divisors (10776900960).

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

3449446560 is a wasteful number, since it uses less digits than its factorization.

3449446560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 890 (or 873 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The square root of 3449446560 is about 58731.9892392553. The cubic root of 3449446560 is about 1510.9490050698.

The spelling of 3449446560 in words is "three billion, four hundred forty-nine million, four hundred forty-six thousand, five hundred sixty".