3782835 has 32 divisors (see below), whose sum is σ = 7687680. Its totient is φ = 1728864.

The previous prime is 3782819. The next prime is 3782869. The reversal of 3782835 is 5382873.

3782835 is a `hidden beast` number, since 378 + 283 + 5 = 666.

It is not a de Polignac number, because 3782835 - 2⁴ = 3782819 is a prime.

3782835 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 3782835.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1057 + ... + 2946.

It is an arithmetic number, because the mean of its divisors is an integer number (240240).

Almost surely, 2^3782835 is an apocalyptic number.

3782835 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

3782835 is an abundant number, since it is smaller than the sum of its proper divisors (3904845).

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

3782835 is a wasteful number, since it uses less digits than its factorization.

3782835 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4024 (or 4018 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 3782835 is about 1944.9511561990. The cubic root of 3782835 is about 155.8137570294.

The spelling of 3782835 in words is "three million, seven hundred eighty-two thousand, eight hundred thirty-five".