3582228480 has 192 divisors, whose sum is σ = 11858464800. Its totient is φ = 922091520.

The previous prime is 3582228473. The next prime is 3582228521. The reversal of 3582228480 is 848222853.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×3582228480² = 25664721765846220800, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 888870 + ... + 892890.

Almost surely, 2^3582228480 is an apocalyptic number.

3582228480 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 3582228480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5929232400).

3582228480 is an abundant number, since it is smaller than the sum of its proper divisors (8276236320).

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

3582228480 is a wasteful number, since it uses less digits than its factorization.

3582228480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4080 (or 4060 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 42.

The square root of 3582228480 is about 59851.7207772675. The cubic root of 3582228480 is about 1530.0927621147.

The spelling of 3582228480 in words is "three billion, five hundred eighty-two million, two hundred twenty-eight thousand, four hundred eighty".