3226216128 has 112 divisors (see below), whose sum is σ = 9115714560. Its totient is φ = 1004774400.

The previous prime is 3226216127. The next prime is 3226216139. The reversal of 3226216128 is 8216126223.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (3226216121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 163263 + ... + 181953.

Almost surely, 2^3226216128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3226216128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4557857280).

3226216128 is an abundant number, since it is smaller than the sum of its proper divisors (5889498432).

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

3226216128 is a wasteful number, since it uses less digits than its factorization.

3226216128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18766 (or 18756 counting only the distinct ones).

The product of its digits is 13824, while the sum is 33.

The square root of 3226216128 is about 56799.7898587662. The cubic root of 3226216128 is about 1477.6258697569.

The spelling of 3226216128 in words is "three billion, two hundred twenty-six million, two hundred sixteen thousand, one hundred twenty-eight".