3283835904 has 308 divisors, whose sum is σ = 10148714856. Its totient is φ = 1061019648.

The previous prime is 3283835857. The next prime is 3283835939. The reversal of 3283835904 is 4095383823.

3283835904 is a `hidden beast` number, since 3 + 28 + 38 + 3 + 590 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 3283835904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 39564247 + ... + 39564329.

Almost surely, 2^3283835904 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 3283835904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5074357428).

3283835904 is an abundant number, since it is smaller than the sum of its proper divisors (6864878952).

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

3283835904 is an frugal number, since it uses more digits than its factorization.

3283835904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 3283835904 is about 57304.7633622197. The cubic root of 3283835904 is about 1486.3707453486.

The spelling of 3283835904 in words is "three billion, two hundred eighty-three million, eight hundred thirty-five thousand, nine hundred four".