3827384 has 64 divisors (see below), whose sum is σ = 8570880. Its totient is φ = 1584000.

The previous prime is 3827381. The next prime is 3827393. The reversal of 3827384 is 4837283.

3827384 = T₁₈₇ + T₁₈₈ + ... + T₃₀₈.

Its product of digits (32256) is a multiple of the sum of its prime divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3827381) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62714 + ... + 62774.

It is an arithmetic number, because the mean of its divisors is an integer number (133920).

Almost surely, 2^3827384 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 3827384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4285440).

3827384 is an abundant number, since it is smaller than the sum of its proper divisors (4743496).

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

3827384 is a wasteful number, since it uses less digits than its factorization.

3827384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 128 counting only the distinct ones).

The product of its digits is 32256, while the sum is 35.

The square root of 3827384 is about 1956.3701081339. The cubic root of 3827384 is about 156.4230245427.

The spelling of 3827384 in words is "three million, eight hundred twenty-seven thousand, three hundred eighty-four".