3646160160 has 96 divisors (see below), whose sum is σ = 11603958912. Its totient is φ = 962273280.

The previous prime is 3646160159. The next prime is 3646160183. The reversal of 3646160160 is 610616463.

It is a tau number, because it is divible by the number of its divisors (96).

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 15 ways as a sum of consecutive naturals, for example, 7405 + ... + 85715.

It is an arithmetic number, because the mean of its divisors is an integer number (120874572).

Almost surely, 2^3646160160 is an apocalyptic number.

3646160160 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 3646160160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5801979456).

3646160160 is an abundant number, since it is smaller than the sum of its proper divisors (7957798752).

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

3646160160 is a wasteful number, since it uses less digits than its factorization.

3646160160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78426 (or 78418 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 3646160160 is about 60383.4427637246. The cubic root of 3646160160 is about 1539.1416141698.

The spelling of 3646160160 in words is "three billion, six hundred forty-six million, one hundred sixty thousand, one hundred sixty".