3228449280 has 480 divisors, whose sum is σ = 12561588864. Its totient is φ = 703954944.

The previous prime is 3228449249. The next prime is 3228449291. The reversal of 3228449280 is 829448223.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 8655174 + ... + 8655546.

Almost surely, 2^3228449280 is an apocalyptic number.

3228449280 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 3228449280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6280794432).

3228449280 is an abundant number, since it is smaller than the sum of its proper divisors (9333139584).

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

3228449280 is a wasteful number, since it uses less digits than its factorization.

3228449280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 42.

The square root of 3228449280 is about 56819.4445590592. Note that the first 3 decimals coincide. The cubic root of 3228449280 is about 1477.9667233528.

The spelling of 3228449280 in words is "three billion, two hundred twenty-eight million, four hundred forty-nine thousand, two hundred eighty".