3456716160 has 128 divisors (see below), whose sum is σ = 11092181760. Its totient is φ = 915609600.

The previous prime is 3456716149. The next prime is 3456716177. The reversal of 3456716160 is 616176543.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×3456716160³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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, 283959 + ... + 295881.

It is an arithmetic number, because the mean of its divisors is an integer number (86657670).

Almost surely, 2^3456716160 is an apocalyptic number.

3456716160 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 3456716160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5546090880).

3456716160 is an abundant number, since it is smaller than the sum of its proper divisors (7635465600).

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

3456716160 is a wasteful number, since it uses less digits than its factorization.

3456716160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12096 (or 12084 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

The square root of 3456716160 is about 58793.8445757717. The cubic root of 3456716160 is about 1512.0096861169.

The spelling of 3456716160 in words is "three billion, four hundred fifty-six million, seven hundred sixteen thousand, one hundred sixty".