3642160 has 40 divisors (see below), whose sum is σ = 8637840. Its totient is φ = 1427712.

The previous prime is 3642157. The next prime is 3642203. The reversal of 3642160 is 612463.

3642160 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 an unprimeable number.

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, 3811 + ... + 4669.

It is an arithmetic number, because the mean of its divisors is an integer number (215946).

Almost surely, 2^3642160 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 3642160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4318920).

3642160 is an abundant number, since it is smaller than the sum of its proper divisors (4995680).

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

3642160 is a wasteful number, since it uses less digits than its factorization.

3642160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 925 (or 919 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 3642160 is about 1908.4443926926. Note that the first 3 decimals coincide. The cubic root of 3642160 is about 153.8578550075.

It can be divided in two parts, 36421 and 60, that added together give a square (36481 = 191²).

The spelling of 3642160 in words is "three million, six hundred forty-two thousand, one hundred sixty".