3285166080 has 192 divisors, whose sum is σ = 12012174720. Its totient is φ = 750845952.

The previous prime is 3285166067. The next prime is 3285166111. The reversal of 3285166080 is 806615823.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 207402 + ... + 222678.

It is an arithmetic number, because the mean of its divisors is an integer number (62563410).

Almost surely, 2^3285166080 is an apocalyptic number.

3285166080 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 3285166080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6006087360).

3285166080 is an abundant number, since it is smaller than the sum of its proper divisors (8727008640).

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

3285166080 is a wasteful number, since it uses less digits than its factorization.

3285166080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15314 (or 15294 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 3285166080 is about 57316.3683427343. The cubic root of 3285166080 is about 1486.5714118712.

The spelling of 3285166080 in words is "three billion, two hundred eighty-five million, one hundred sixty-six thousand, eighty".