3439853568 has 180 divisors, whose sum is σ = 10319026575. Its totient is φ = 1146617856.

The previous prime is 3439853551. The next prime is 3439853569. The reversal of 3439853568 is 8653589343.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Jordan-Polya number, since it can be written as (4!)⁵ ⋅ (3!)³ ⋅ 2!.

3439853568 is a `hidden beast` number, since 3 + 43 + 9 + 8 + 535 + 68 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1719926784 + 1719926784 = 41472^2 + 41472^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=8, B=12.

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

Its product of digits (9331200) is a multiple of the sum of its prime divisors (5).

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (3439853569) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1146617855 + 1146617856 + 1146617857.

Almost surely, 2^3439853568 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 3439853568

3439853568 is an abundant number, since it is smaller than the sum of its proper divisors (6879173007).

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

3439853568 is an frugal number, since it uses more digits than its factorization.

3439853568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62 (or 5 counting only the distinct ones).

The product of its digits is 9331200, while the sum is 54.

The square root of 3439853568 is about 58650.2648587370. The cubic root of 3439853568 is about 1509.5470430643.

The spelling of 3439853568 in words is "three billion, four hundred thirty-nine million, eight hundred fifty-three thousand, five hundred sixty-eight".