3283609672 has 32 divisors (see below), whose sum is σ = 7048872000. Its totient is φ = 1404748224.

The previous prime is 3283609643. The next prime is 3283609673. The reversal of 3283609672 is 2769063823.

3283609672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (3283609673) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20547 + ... + 83602.

It is an arithmetic number, because the mean of its divisors is an integer number (220277250).

Almost surely, 2^3283609672 is an apocalyptic number.

It is an amenable number.

3283609672 is an abundant number, since it is smaller than the sum of its proper divisors (3765262328).

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

3283609672 is a wasteful number, since it uses less digits than its factorization.

3283609672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104725 (or 104721 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 46.

The square root of 3283609672 is about 57302.7893910933. The cubic root of 3283609672 is about 1486.3366112487.

It can be divided in two parts, 328 and 3609672, that added together give a square (3610000 = 1900²).

The spelling of 3283609672 in words is "three billion, two hundred eighty-three million, six hundred nine thousand, six hundred seventy-two".