3228958080 has 320 divisors, whose sum is σ = 11626164000. Its totient is φ = 853991424.

The previous prime is 3228958027. The next prime is 3228958081. The reversal of 3228958080 is 808598223.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3228958081) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10316004 + ... + 10316316.

Almost surely, 2^3228958080 is an apocalyptic number.

3228958080 is a gapful number since it is divisible by the number (30) 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 3228958080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5813082000).

3228958080 is an abundant number, since it is smaller than the sum of its proper divisors (8397205920).

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

3228958080 is a wasteful number, since it uses less digits than its factorization.

3228958080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 543 (or 522 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 3228958080 is about 56823.9217231616. The cubic root of 3228958080 is about 1478.0443612426.

The spelling of 3228958080 in words is "three billion, two hundred twenty-eight million, nine hundred fifty-eight thousand, eighty".