3777904 has 40 divisors (see below), whose sum is σ = 8093232. Its totient is φ = 1697280.

The previous prime is 3777901. The next prime is 3777923. The reversal of 3777904 is 4097773.

3777904 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3777901) 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, 8307 + ... + 8749.

Almost surely, 2^3777904 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 3777904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4046616).

3777904 is an abundant number, since it is smaller than the sum of its proper divisors (4315328).

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

3777904 is a wasteful number, since it uses less digits than its factorization.

3777904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505 (or 499 counting only the distinct ones).

The product of its (nonzero) digits is 37044, while the sum is 37.

The square root of 3777904 is about 1943.6831017427. The cubic root of 3777904 is about 155.7460254897.

It can be divided in two parts, 377 and 7904, that added together give a square (8281 = 91²).

The spelling of 3777904 in words is "three million, seven hundred seventy-seven thousand, nine hundred four".