3228871464 has 384 divisors, whose sum is σ = 11613772800. Its totient is φ = 823011840.

The previous prime is 3228871463. The next prime is 3228871493. The reversal of 3228871464 is 4641788223.

It is a happy number.

It is a super-2 number, since 2×3228871464² = 20851221862067006592, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3228871463) 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 95 ways as a sum of consecutive naturals, for example, 4264974 + ... + 4265730.

It is an arithmetic number, because the mean of its divisors is an integer number (30244200).

Almost surely, 2^3228871464 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 3228871464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5806886400).

3228871464 is an abundant number, since it is smaller than the sum of its proper divisors (8384901336).

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

3228871464 is a wasteful number, since it uses less digits than its factorization.

3228871464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 830 (or 813 counting only the distinct ones).

The product of its digits is 516096, while the sum is 45.

The square root of 3228871464 is about 56823.1595742440. The cubic root of 3228871464 is about 1478.0311450666.

The spelling of 3228871464 in words is "three billion, two hundred twenty-eight million, eight hundred seventy-one thousand, four hundred sixty-four".