3290224000 has 256 divisors, whose sum is σ = 9680860800. Its totient is φ = 1088102400.

The previous prime is 3290223961. The next prime is 3290224019. The reversal of 3290224000 is 4220923.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3247494 + ... + 3248506.

Almost surely, 2^3290224000 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 3290224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4840430400).

3290224000 is an abundant number, since it is smaller than the sum of its proper divisors (6390636800).

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

3290224000 is a wasteful number, since it uses less digits than its factorization.

3290224000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1078 (or 1056 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 3290224000 is about 57360.4741960873. The cubic root of 3290224000 is about 1487.3339409286. Note that the first 3 decimals are identical.

Adding to 3290224000 its reverse (4220923), we get a palindrome (3294444923).

The spelling of 3290224000 in words is "three billion, two hundred ninety million, two hundred twenty-four thousand".