3785160 has 32 divisors (see below), whose sum is σ = 11355840. Its totient is φ = 1009344.

The previous prime is 3785153. The next prime is 3785183. The reversal of 3785160 is 615873.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a zygodrome in base 7.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15652 + ... + 15891.

It is an arithmetic number, because the mean of its divisors is an integer number (354870).

Almost surely, 2^3785160 is an apocalyptic number.

3785160 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3785160 is an abundant number, since it is smaller than the sum of its proper divisors (7570680).

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

3785160 is a wasteful number, since it uses less digits than its factorization.

3785160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31557 (or 31553 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 3785160 is about 1945.5487657728. The cubic root of 3785160 is about 155.8456724925.

The spelling of 3785160 in words is "three million, seven hundred eighty-five thousand, one hundred sixty".