3225116160 has 240 divisors, whose sum is σ = 12765763296. Its totient is φ = 737132544.

The previous prime is 3225116113. The next prime is 3225116161. The reversal of 3225116160 is 616115223.

3225116160 is a `hidden beast` number, since 32 + 2 + 5 + 11 + 616 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3225116161) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 151282 + ... + 171278.

Almost surely, 2^3225116160 is an apocalyptic number.

3225116160 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3225116160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6382881648).

3225116160 is an abundant number, since it is smaller than the sum of its proper divisors (9540647136).

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

3225116160 is a wasteful number, since it uses less digits than its factorization.

3225116160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20033 (or 20014 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 3225116160 is about 56790.1061805663. The cubic root of 3225116160 is about 1477.4579200741.

The spelling of 3225116160 in words is "three billion, two hundred twenty-five million, one hundred sixteen thousand, one hundred sixty".