3646695168 has 324 divisors, whose sum is σ = 11451522264. Its totient is φ = 1157068800.

The previous prime is 3646695097. The next prime is 3646695191. The reversal of 3646695168 is 8615966463.

3646695168 is a `hidden beast` number, since 3 + 64 + 6 + 69 + 516 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (324).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 35 ways as a sum of consecutive naturals, for example, 59781858 + ... + 59781918.

Almost surely, 2^3646695168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3646695168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5725761132).

3646695168 is an abundant number, since it is smaller than the sum of its proper divisors (7804827096).

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

3646695168 is an frugal number, since it uses more digits than its factorization.

3646695168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 97 counting only the distinct ones).

The product of its digits is 5598720, while the sum is 54.

The square root of 3646695168 is about 60387.8726898042. The cubic root of 3646695168 is about 1539.2168908781.

The spelling of 3646695168 in words is "three billion, six hundred forty-six million, six hundred ninety-five thousand, one hundred sixty-eight".