3202652160 has 576 divisors, whose sum is σ = 12265344000. Its totient is φ = 769720320.

The previous prime is 3202652153. The next prime is 3202652177. The reversal of 3202652160 is 612562023.

3202652160 is a `hidden beast` number, since 3 + 2 + 0 + 2 + 652 + 1 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 54282211 + ... + 54282269.

It is an arithmetic number, because the mean of its divisors is an integer number (21294000).

Almost surely, 2^3202652160 is an apocalyptic number.

3202652160 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 3202652160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6132672000).

3202652160 is an abundant number, since it is smaller than the sum of its proper divisors (9062691840).

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

3202652160 is a wasteful number, since it uses less digits than its factorization.

3202652160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 3202652160 is about 56591.9796437622. The cubic root of 3202652160 is about 1474.0195970778.

The spelling of 3202652160 in words is "three billion, two hundred two million, six hundred fifty-two thousand, one hundred sixty".