3283504128 has 220 divisors, whose sum is σ = 10129407552. Its totient is φ = 1058365440.

The previous prime is 3283504093. The next prime is 3283504139. The reversal of 3283504128 is 8214053823.

3283504128 is a `hidden beast` number, since 3 + 28 + 3 + 504 + 128 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3283504092 and 3283504101.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2570626 + ... + 2571902.

Almost surely, 2^3283504128 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 3283504128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5064703776).

3283504128 is an abundant number, since it is smaller than the sum of its proper divisors (6845903424).

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

3283504128 is a wasteful number, since it uses less digits than its factorization.

3283504128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1340 (or 1313 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 3283504128 is about 57301.8684512120. The cubic root of 3283504128 is about 1486.3206861329.

The spelling of 3283504128 in words is "three billion, two hundred eighty-three million, five hundred four thousand, one hundred twenty-eight".