3283082880 has 512 divisors, whose sum is σ = 13324953600. Its totient is φ = 667729920.

The previous prime is 3283082849. The next prime is 3283082899. The reversal of 3283082880 is 882803823.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7835311 + ... + 7835729.

It is an arithmetic number, because the mean of its divisors is an integer number (26025300).

Almost surely, 2^3283082880 is an apocalyptic number.

3283082880 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 3283082880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6662476800).

3283082880 is an abundant number, since it is smaller than the sum of its proper divisors (10041870720).

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

3283082880 is a wasteful number, since it uses less digits than its factorization.

3283082880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512 (or 500 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 42.

The square root of 3283082880 is about 57298.1926416532. The cubic root of 3283082880 is about 1486.2571222929.

The spelling of 3283082880 in words is "three billion, two hundred eighty-three million, eighty-two thousand, eight hundred eighty".