3678160 has 40 divisors (see below), whose sum is σ = 8928000. Its totient is φ = 1406592.

The previous prime is 3678149. The next prime is 3678163. The reversal of 3678160 is 618763.

3678160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3678163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 841 + ... + 2839.

It is an arithmetic number, because the mean of its divisors is an integer number (223200).

Almost surely, 2^3678160 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 3678160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4464000).

3678160 is an abundant number, since it is smaller than the sum of its proper divisors (5249840).

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

3678160 is a wasteful number, since it uses less digits than its factorization.

3678160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2035 (or 2029 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 31.

The square root of 3678160 is about 1917.8529662099. The cubic root of 3678160 is about 154.3631168220.

The spelling of 3678160 in words is "three million, six hundred seventy-eight thousand, one hundred sixty".