3285423360 has 216 divisors, whose sum is σ = 11583850824. Its totient is φ = 859422720.

The previous prime is 3285423331. The next prime is 3285423403. The reversal of 3285423360 is 633245823.

It is a happy number.

3285423360 is a `hidden beast` number, since 3 + 28 + 542 + 33 + 60 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 379782144 + 2905641216 = 19488^2 + 53904^2 .

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 (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 607870 + ... + 613250.

It is an arithmetic number, because the mean of its divisors is an integer number (53628939).

Almost surely, 2^3285423360 is an apocalyptic number.

3285423360 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 3285423360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5791925412).

3285423360 is an abundant number, since it is smaller than the sum of its proper divisors (8298427464).

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

3285423360 is a wasteful number, since it uses less digits than its factorization.

3285423360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5461 (or 5444 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 3285423360 is about 57318.6126838394. The cubic root of 3285423360 is about 1486.6102181395.

The spelling of 3285423360 in words is "three billion, two hundred eighty-five million, four hundred twenty-three thousand, three hundred sixty".