3609164160 has 192 divisors, whose sum is σ = 14243467680. Its totient is φ = 824942592.

The previous prime is 3609164147. The next prime is 3609164189. The reversal of 3609164160 is 614619063.

3609164160 is a `hidden beast` number, since 3 + 6 + 0 + 9 + 1 + 641 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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 23 ways as a sum of consecutive naturals, for example, 4437 + ... + 85076.

Almost surely, 2^3609164160 is an apocalyptic number.

3609164160 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 3609164160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7121733840).

3609164160 is an abundant number, since it is smaller than the sum of its proper divisors (10634303520).

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

3609164160 is a wasteful number, since it uses less digits than its factorization.

3609164160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89545 (or 89530 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 3609164160 is about 60076.3194611654. The cubic root of 3609164160 is about 1533.9182410400.

The spelling of 3609164160 in words is "three billion, six hundred nine million, one hundred sixty-four thousand, one hundred sixty".