3283248080 has 120 divisors (see below), whose sum is σ = 9267883008. Its totient is φ = 1059416064.

The previous prime is 3283248049. The next prime is 3283248139. The reversal of 3283248080 is 808423823.

It is a super-3 number, since 3×3283248080³ (a number of 30 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 151697 + ... + 171983.

Almost surely, 2^3283248080 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 3283248080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4633941504).

3283248080 is an abundant number, since it is smaller than the sum of its proper divisors (5984634928).

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

3283248080 is a wasteful number, since it uses less digits than its factorization.

3283248080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20341 (or 20318 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 38.

The square root of 3283248080 is about 57299.6342047661. The cubic root of 3283248080 is about 1486.2820506471.

The spelling of 3283248080 in words is "three billion, two hundred eighty-three million, two hundred forty-eight thousand, eighty".