3785904 has 60 divisors (see below), whose sum is σ = 10793952. Its totient is φ = 1238400.

The previous prime is 3785893. The next prime is 3785911. The reversal of 3785904 is 4095873.

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 11 ways as a sum of consecutive naturals, for example, 8569 + ... + 8999.

Almost surely, 2^3785904 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 3785904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5396976).

3785904 is an abundant number, since it is smaller than the sum of its proper divisors (7008048).

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

3785904 is a wasteful number, since it uses less digits than its factorization.

3785904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 3785904 is about 1945.7399620710. The cubic root of 3785904 is about 155.8558826803.

The spelling of 3785904 in words is "three million, seven hundred eighty-five thousand, nine hundred four".