3458216160 has 864 divisors, whose sum is σ = 15404528160. Its totient is φ = 719953920.

The previous prime is 3458216141. The next prime is 3458216213. The reversal of 3458216160 is 616128543.

It is a happy number.

3458216160 is a `hidden beast` number, since 3 + 4 + 582 + 16 + 1 + 60 = 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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 111555345 + ... + 111555375.

It is an arithmetic number, because the mean of its divisors is an integer number (17829315).

Almost surely, 2^3458216160 is an apocalyptic number.

3458216160 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 3458216160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7702264080).

3458216160 is an abundant number, since it is smaller than the sum of its proper divisors (11946312000).

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

3458216160 is a wasteful number, since it uses less digits than its factorization.

3458216160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 65 counting only the distinct ones).

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

The square root of 3458216160 is about 58806.5996296334. The cubic root of 3458216160 is about 1512.2283605702.

The spelling of 3458216160 in words is "three billion, four hundred fifty-eight million, two hundred sixteen thousand, one hundred sixty".