3782432 has 36 divisors (see below), whose sum is σ = 7929810. Its totient is φ = 1775616.

The previous prime is 3782417. The next prime is 3782437. The reversal of 3782432 is 2342873.

3782432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 3701776 + 80656 = 1924^2 + 284^2 .

It is a junction number, because it is equal to n+sod(n) for n = 3782395 and 3782404.

It is not an unprimeable number, because it can be changed into a prime (3782437) 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 5 ways as a sum of consecutive naturals, for example, 9044 + ... + 9452.

Almost surely, 2^3782432 is an apocalyptic number.

3782432 is a gapful number since it is divisible by the number (32) 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 3782432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3964905).

3782432 is an abundant number, since it is smaller than the sum of its proper divisors (4147378).

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

3782432 is a wasteful number, since it uses less digits than its factorization.

3782432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453 (or 428 counting only the distinct ones).

The product of its digits is 8064, while the sum is 29.

The square root of 3782432 is about 1944.8475518662. The cubic root of 3782432 is about 155.8082236861.

The spelling of 3782432 in words is "three million, seven hundred eighty-two thousand, four hundred thirty-two".