3779424 has 72 divisors (see below), whose sum is σ = 11734632. Its totient is φ = 1144320.

The previous prime is 3779417. The next prime is 3779437. The reversal of 3779424 is 4249773.

3779424 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 (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 11 ways as a sum of consecutive naturals, for example, 2572 + ... + 3764.

It is an arithmetic number, because the mean of its divisors is an integer number (162981).

Almost surely, 2^3779424 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 3779424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5867316).

3779424 is an abundant number, since it is smaller than the sum of its proper divisors (7955208).

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

3779424 is a wasteful number, since it uses less digits than its factorization.

3779424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1220 (or 1209 counting only the distinct ones).

The product of its digits is 42336, while the sum is 36.

The square root of 3779424 is about 1944.0740726629. The cubic root of 3779424 is about 155.7669102816.

It can be divided in two parts, 377 and 9424, that added together give a square (9801 = 99²).

The spelling of 3779424 in words is "three million, seven hundred seventy-nine thousand, four hundred twenty-four".