3782928 has 40 divisors (see below), whose sum is σ = 9963648. Its totient is φ = 1236352.

The previous prime is 3782927. The next prime is 3782929. The reversal of 3782928 is 8292873.

It is an interprime number because it is at equal distance from previous prime (3782927) and next prime (3782929).

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (3782921) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1801 + ... + 3287.

Almost surely, 2^3782928 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 3782928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4981824).

3782928 is an abundant number, since it is smaller than the sum of its proper divisors (6180720).

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

3782928 is a wasteful number, since it uses less digits than its factorization.

3782928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1551 (or 1545 counting only the distinct ones).

The product of its digits is 48384, while the sum is 39.

The square root of 3782928 is about 1944.9750641075. The cubic root of 3782928 is about 155.8150338990.

The spelling of 3782928 in words is "three million, seven hundred eighty-two thousand, nine hundred twenty-eight".