3283984080 has 320 divisors, whose sum is σ = 12306712320. Its totient is φ = 800077824.

The previous prime is 3283984079. The next prime is 3283984097. The reversal of 3283984080 is 804893823.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3004014 + ... + 3005106.

It is an arithmetic number, because the mean of its divisors is an integer number (38458476).

Almost surely, 2^3283984080 is an apocalyptic number.

3283984080 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 3283984080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6153356160).

3283984080 is an abundant number, since it is smaller than the sum of its proper divisors (9022728240).

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

3283984080 is a wasteful number, since it uses less digits than its factorization.

3283984080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1235 (or 1223 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 3283984080 is about 57306.0562244515. The cubic root of 3283984080 is about 1486.3931014352.

The spelling of 3283984080 in words is "three billion, two hundred eighty-three million, nine hundred eighty-four thousand, eighty".