3329280000 has 540 divisors, whose sum is σ = 12763996245. Its totient is φ = 835584000.

The previous prime is 3329279963. The next prime is 3329280007. The reversal of 3329280000 is 829233.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 8 ways, for example, as 451584 + 3328828416 = 672^2 + 57696^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=40800.

It is a super-2 number, since 2×3329280000² = 22168210636800000000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3329280007) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 195839992 + ... + 195840008.

Almost surely, 2^3329280000 is an apocalyptic number.

3329280000 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 3329280000

3329280000 is an abundant number, since it is smaller than the sum of its proper divisors (9434716245).

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

3329280000 is an equidigital number, since it uses as much as digits as its factorization.

3329280000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 3329280000 is about 57699.9133448223. The cubic root of 3329280000 is about 1493.1958490208.

Multiplying 3329280000 by its product of nonzero digits (2592), we get a square (8629493760000 = 2937600²).

The spelling of 3329280000 in words is "three billion, three hundred twenty-nine million, two hundred eighty thousand".