3741824 has 64 divisors (see below), whose sum is σ = 8225280. Its totient is φ = 1689600.

The previous prime is 3741823. The next prime is 3741833. The reversal of 3741824 is 4281473.

It is a tau number, because it is divible by the number of its divisors (64).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3741821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 91244 + ... + 91284.

It is an arithmetic number, because the mean of its divisors is an integer number (128520).

Almost surely, 2^3741824 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 3741824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4112640).

3741824 is an abundant number, since it is smaller than the sum of its proper divisors (4483456).

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

3741824 is a wasteful number, since it uses less digits than its factorization.

3741824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 97 counting only the distinct ones).

The product of its digits is 5376, while the sum is 29.

The square root of 3741824 is about 1934.3794870707. The cubic root of 3741824 is about 155.2486332159.

The spelling of 3741824 in words is "three million, seven hundred forty-one thousand, eight hundred twenty-four".