3282112512 has 468 divisors, whose sum is σ = 11653499520. Its totient is φ = 885620736.

The previous prime is 3282112499. The next prime is 3282112529. The reversal of 3282112512 is 2152112823.

3282112512 is a `hidden beast` number, since 32 + 8 + 2 + 112 + 512 = 666.

It is a super-3 number, since 3×3282112512³ (a number of 30 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 41545689 + ... + 41545767.

It is an arithmetic number, because the mean of its divisors is an integer number (24900640).

Almost surely, 2^3282112512 is an apocalyptic number.

3282112512 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 3282112512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5826749760).

3282112512 is an abundant number, since it is smaller than the sum of its proper divisors (8371387008).

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

3282112512 is a wasteful number, since it uses less digits than its factorization.

3282112512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 114 counting only the distinct ones).

The product of its digits is 1920, while the sum is 27.

The square root of 3282112512 is about 57289.7243142258. The cubic root of 3282112512 is about 1486.1106787908.

The spelling of 3282112512 in words is "three billion, two hundred eighty-two million, one hundred twelve thousand, five hundred twelve".