3281960160 has 768 divisors, whose sum is σ = 13324953600. Its totient is φ = 749371392.

The previous prime is 3281960159. The next prime is 3281960191. The reversal of 3281960160 is 610691823.

3281960160 is a `hidden beast` number, since 32 + 8 + 19 + 601 + 6 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 48984447 + ... + 48984513.

It is an arithmetic number, because the mean of its divisors is an integer number (17350200).

Almost surely, 2^3281960160 is an apocalyptic number.

3281960160 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 3281960160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6662476800).

3281960160 is an abundant number, since it is smaller than the sum of its proper divisors (10042993440).

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

3281960160 is a wasteful number, since it uses less digits than its factorization.

3281960160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 3281960160 is about 57288.3946362612. The cubic root of 3281960160 is about 1486.0876839019.

The spelling of 3281960160 in words is "three billion, two hundred eighty-one million, nine hundred sixty thousand, one hundred sixty".