3225161680 has 160 divisors (see below), whose sum is σ = 8469457920. Its totient is φ = 1134120960.

The previous prime is 3225161617. The next prime is 3225161689. The reversal of 3225161680 is 861615223.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3225161689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1832641 + ... + 1834399.

It is an arithmetic number, because the mean of its divisors is an integer number (52934112).

Almost surely, 2^3225161680 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 3225161680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4234728960).

3225161680 is an abundant number, since it is smaller than the sum of its proper divisors (5244296240).

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

3225161680 is a wasteful number, since it uses less digits than its factorization.

3225161680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1869 (or 1863 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The square root of 3225161680 is about 56790.5069531872. The cubic root of 3225161680 is about 1477.4648710969.

The spelling of 3225161680 in words is "three billion, two hundred twenty-five million, one hundred sixty-one thousand, six hundred eighty".