3775904 has 48 divisors (see below), whose sum is σ = 8600256. Its totient is φ = 1612800.

The previous prime is 3775897. The next prime is 3775907. The reversal of 3775904 is 4095773.

3775904 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (3775907) 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 7 ways as a sum of consecutive naturals, for example, 5669 + ... + 6299.

It is an arithmetic number, because the mean of its divisors is an integer number (179172).

Almost surely, 2^3775904 is an apocalyptic number.

3775904 is a gapful number since it is divisible by the number (34) 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 3775904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4300128).

3775904 is an abundant number, since it is smaller than the sum of its proper divisors (4824352).

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

3775904 is a wasteful number, since it uses less digits than its factorization.

3775904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 669 (or 661 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 35.

The square root of 3775904 is about 1943.1685464725. The cubic root of 3775904 is about 155.7185369639.

The spelling of 3775904 in words is "three million, seven hundred seventy-five thousand, nine hundred four".