3781344 has 96 divisors (see below), whose sum is σ = 12047616. Its totient is φ = 1013760.

The previous prime is 3781313. The next prime is 3781367. The reversal of 3781344 is 4431873.

3781344 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 (96).

It is a nude number because it is divisible by every one of its digits.

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, 11259 + ... + 11589.

It is an arithmetic number, because the mean of its divisors is an integer number (125496).

Almost surely, 2^3781344 is an apocalyptic number.

3781344 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3781344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6023808).

3781344 is an abundant number, since it is smaller than the sum of its proper divisors (8266272).

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

3781344 is a wasteful number, since it uses less digits than its factorization.

3781344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 360 counting only the distinct ones).

The product of its digits is 8064, while the sum is 30.

The square root of 3781344 is about 1944.5678183082. The cubic root of 3781344 is about 155.7932830691.

The spelling of 3781344 in words is "three million, seven hundred eighty-one thousand, three hundred forty-four".