3415880160 has 864 divisors, whose sum is σ = 15434520192. Its totient is φ = 705438720.

The previous prime is 3415880141. The next prime is 3415880177. The reversal of 3415880160 is 610885143.

3415880160 is a `hidden beast` number, since 3 + 415 + 8 + 80 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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 143 ways as a sum of consecutive naturals, for example, 20956239 + ... + 20956401.

It is an arithmetic number, because the mean of its divisors is an integer number (17864028).

Almost surely, 2^3415880160 is an apocalyptic number.

3415880160 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 3415880160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7717260096).

3415880160 is an abundant number, since it is smaller than the sum of its proper divisors (12018640032).

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

3415880160 is a wasteful number, since it uses less digits than its factorization.

3415880160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 3415880160 is about 58445.5315657237. The cubic root of 3415880160 is about 1506.0320305563.

The spelling of 3415880160 in words is "three billion, four hundred fifteen million, eight hundred eighty thousand, one hundred sixty".