3790160 has 80 divisors (see below), whose sum is σ = 9910080. Its totient is φ = 1336320.

The previous prime is 3790121. The next prime is 3790187. The reversal of 3790160 is 610973.

It is a happy number.

3790160 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 (80).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 51884 + ... + 51956.

It is an arithmetic number, because the mean of its divisors is an integer number (123876).

Almost surely, 2^3790160 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 3790160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4955040).

3790160 is an abundant number, since it is smaller than the sum of its proper divisors (6119920).

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

3790160 is a wasteful number, since it uses less digits than its factorization.

3790160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 26.

The square root of 3790160 is about 1946.8333261992. The cubic root of 3790160 is about 155.9142636491.

The spelling of 3790160 in words is "three million, seven hundred ninety thousand, one hundred sixty".