3468165120 has 480 divisors, whose sum is σ = 14344506000. Its totient is φ = 792723456.

The previous prime is 3468165119. The next prime is 3468165163. The reversal of 3468165120 is 215618643.

It is a happy number.

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

It is a super-2 number, since 2×3468165120² = 24056338599169228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 495452157 + ... + 495452163.

Almost surely, 2^3468165120 is an apocalyptic number.

3468165120 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 3468165120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7172253000).

3468165120 is an abundant number, since it is smaller than the sum of its proper divisors (10876340880).

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

3468165120 is an frugal number, since it uses more digits than its factorization.

3468165120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 3468165120 is about 58891.1293829555. The cubic root of 3468165120 is about 1513.6771513162.

The spelling of 3468165120 in words is "three billion, four hundred sixty-eight million, one hundred sixty-five thousand, one hundred twenty".