3285852192 has 576 divisors, whose sum is σ = 11950848000. Its totient is φ = 853493760.

The previous prime is 3285852187. The next prime is 3285852277. The reversal of 3285852192 is 2912585823.

3285852192 is a `hidden beast` number, since 32 + 8 + 5 + 8 + 521 + 92 = 666.

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 95 ways as a sum of consecutive naturals, for example, 88806798 + ... + 88806834.

It is an arithmetic number, because the mean of its divisors is an integer number (20748000).

Almost surely, 2^3285852192 is an apocalyptic number.

3285852192 is a gapful number since it is divisible by the number (32) 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 3285852192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5975424000).

3285852192 is an abundant number, since it is smaller than the sum of its proper divisors (8664995808).

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

3285852192 is a wasteful number, since it uses less digits than its factorization.

3285852192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 109 counting only the distinct ones).

The product of its digits is 345600, while the sum is 45.

The square root of 3285852192 is about 57322.3533361986. The cubic root of 3285852192 is about 1486.6748955776.

The spelling of 3285852192 in words is "three billion, two hundred eighty-five million, eight hundred fifty-two thousand, one hundred ninety-two".