3746784 has 48 divisors (see below), whose sum is σ = 10160640. Its totient is φ = 1207680.

The previous prime is 3746779. The next prime is 3746789. The reversal of 3746784 is 4876473.

It is a happy number.

3746784 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3746779) and next prime (3746789).

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3746789) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 2347 + ... + 3605.

It is an arithmetic number, because the mean of its divisors is an integer number (211680).

Almost surely, 2^3746784 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 3746784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5080320).

3746784 is an abundant number, since it is smaller than the sum of its proper divisors (6413856).

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

3746784 is a wasteful number, since it uses less digits than its factorization.

3746784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1303 (or 1295 counting only the distinct ones).

The product of its digits is 112896, while the sum is 39.

The square root of 3746784 is about 1935.6611273671. The cubic root of 3746784 is about 155.3171998856.

The spelling of 3746784 in words is "three million, seven hundred forty-six thousand, seven hundred eighty-four".