3463695168 has 112 divisors (see below), whose sum is σ = 9349776576. Its totient is φ = 1131356160.

The previous prime is 3463695149. The next prime is 3463695199. The reversal of 3463695168 is 8615963643.

It is a happy number.

3463695168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 3463695168.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5070955 + ... + 5071637.

It is an arithmetic number, because the mean of its divisors is an integer number (83480148).

Almost surely, 2^3463695168 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 3463695168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4674888288).

3463695168 is an abundant number, since it is smaller than the sum of its proper divisors (5886081408).

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

3463695168 is a wasteful number, since it uses less digits than its factorization.

3463695168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1192 (or 1182 counting only the distinct ones).

The product of its digits is 2799360, while the sum is 51.

The square root of 3463695168 is about 58853.1661680151. The cubic root of 3463695168 is about 1513.0265697284.

The spelling of 3463695168 in words is "three billion, four hundred sixty-three million, six hundred ninety-five thousand, one hundred sixty-eight".