3209603680 has 96 divisors (see below), whose sum is σ = 7891115904. Its totient is φ = 1232664576.

The previous prime is 3209603669. The next prime is 3209603687. The reversal of 3209603680 is 863069023.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3209603687) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 394534 + ... + 402586.

It is an arithmetic number, because the mean of its divisors is an integer number (82199124).

Almost surely, 2^3209603680 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 3209603680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3945557952).

3209603680 is an abundant number, since it is smaller than the sum of its proper divisors (4681512224).

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

3209603680 is a wasteful number, since it uses less digits than its factorization.

3209603680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8168 (or 8160 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 37.

The square root of 3209603680 is about 56653.3642425584. The cubic root of 3209603680 is about 1475.0853046518.

The spelling of 3209603680 in words is "three billion, two hundred nine million, six hundred three thousand, six hundred eighty".