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3288224160 = 253451329673

3288224160 has 480 divisors, whose sum is σ = 12947513040. Its totient is φ = 780337152.

The previous prime is 3288224153. The next prime is 3288224179. The reversal of 3288224160 is 614228823.

3288224160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 604569744 + 2683654416 = 24588^2 + 51804^2 .

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4885584 + ... + 4886256.

Almost surely, 23288224160 is an apocalyptic number.

3288224160 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 3288224160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6473756520).

3288224160 is an abundant number, since it is smaller than the sum of its proper divisors (9659288880).

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

3288224160 is a wasteful number, since it uses less digits than its factorization.

3288224160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 742 (or 725 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 3288224160 is about 57343.0393334710. The cubic root of 3288224160 is about 1487.0325396923.

The spelling of 3288224160 in words is "three billion, two hundred eighty-eight million, two hundred twenty-four thousand, one hundred sixty".