3228146432 has 72 divisors (see below), whose sum is σ = 7465391136. Its totient is φ = 1364484096.

The previous prime is 3228146429. The next prime is 3228146443. The reversal of 3228146432 is 2346418223.

It is a junction number, because it is equal to n+sod(n) for n = 3228146392 and 3228146401.

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 7 ways as a sum of consecutive naturals, for example, 118478 + ... + 143154.

It is an arithmetic number, because the mean of its divisors is an integer number (103685988).

Almost surely, 2^3228146432 is an apocalyptic number.

3228146432 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 3228146432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3732695568).

3228146432 is an abundant number, since it is smaller than the sum of its proper divisors (4237244704).

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

3228146432 is an equidigital number, since it uses as much as digits as its factorization.

3228146432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24773 (or 24759 counting only the distinct ones).

The product of its digits is 55296, while the sum is 35.

The square root of 3228146432 is about 56816.7794933856. The cubic root of 3228146432 is about 1477.9205078456.

The spelling of 3228146432 in words is "three billion, two hundred twenty-eight million, one hundred forty-six thousand, four hundred thirty-two".