3285895680 has 320 divisors, whose sum is σ = 11790852480. Its totient is φ = 867336192.

The previous prime is 3285895649. The next prime is 3285895687. The reversal of 3285895680 is 865985823.

3285895680 is a `hidden beast` number, since 3 + 2 + 8 + 589 + 56 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×3285895680² = 21594220839685324800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (3285895687) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 9469267 + ... + 9469613.

It is an arithmetic number, because the mean of its divisors is an integer number (36846414).

Almost surely, 2^3285895680 is an apocalyptic number.

3285895680 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 3285895680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5895426240).

3285895680 is an abundant number, since it is smaller than the sum of its proper divisors (8504956800).

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

3285895680 is a wasteful number, since it uses less digits than its factorization.

3285895680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516 (or 494 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The square root of 3285895680 is about 57322.7326634033. The cubic root of 3285895680 is about 1486.6814542245.

The spelling of 3285895680 in words is "three billion, two hundred eighty-five million, eight hundred ninety-five thousand, six hundred eighty".