3282412032 has 160 divisors (see below), whose sum is σ = 10228363200. Its totient is φ = 1036468224.

The previous prime is 3282412027. The next prime is 3282412073. The reversal of 3282412032 is 2302142823.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 3282411987 and 3282412005.

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 15 ways as a sum of consecutive naturals, for example, 256408 + ... + 268904.

It is an arithmetic number, because the mean of its divisors is an integer number (63927270).

Almost surely, 2^3282412032 is an apocalyptic number.

3282412032 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 3282412032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5114181600).

3282412032 is an abundant number, since it is smaller than the sum of its proper divisors (6945951168).

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

3282412032 is a wasteful number, since it uses less digits than its factorization.

3282412032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12543 (or 12521 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 3282412032 is about 57292.3383359416. The cubic root of 3282412032 is about 1486.1558840591.

Adding to 3282412032 its reverse (2302142823), we get a palindrome (5584554855).

The spelling of 3282412032 in words is "three billion, two hundred eighty-two million, four hundred twelve thousand, thirty-two".