3785832 has 64 divisors (see below), whose sum is σ = 11145600. Its totient is φ = 1186560.

The previous prime is 3785819. The next prime is 3785851. The reversal of 3785832 is 2385873.

3785832 is a `hidden beast` number, since 3 + 78 + 583 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3157 + ... + 4187.

It is an arithmetic number, because the mean of its divisors is an integer number (174150).

Almost surely, 2^3785832 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 3785832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5572800).

3785832 is an abundant number, since it is smaller than the sum of its proper divisors (7359768).

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

3785832 is a wasteful number, since it uses less digits than its factorization.

3785832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1063 (or 1053 counting only the distinct ones).

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

The square root of 3785832 is about 1945.7214600245. The cubic root of 3785832 is about 155.8548946561.

The spelling of 3785832 in words is "three million, seven hundred eighty-five thousand, eight hundred thirty-two".