3783164 has 48 divisors (see below), whose sum is σ = 8418816. Its totient is φ = 1444800.

The previous prime is 3783119. The next prime is 3783181. The reversal of 3783164 is 4613873.

3783164 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 3783164.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21782 + ... + 21954.

It is an arithmetic number, because the mean of its divisors is an integer number (175392).

Almost surely, 2^3783164 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 3783164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4209408).

3783164 is an abundant number, since it is smaller than the sum of its proper divisors (4635652).

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

3783164 is a wasteful number, since it uses less digits than its factorization.

3783164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 264 counting only the distinct ones).

The product of its digits is 12096, while the sum is 32.

The square root of 3783164 is about 1945.0357323196. The cubic root of 3783164 is about 155.8182740332.

The spelling of 3783164 in words is "three million, seven hundred eighty-three thousand, one hundred sixty-four".