3753904 has 60 divisors (see below), whose sum is σ = 9169552. Its totient is φ = 1457280.

The previous prime is 3753877. The next prime is 3753913. The reversal of 3753904 is 4093573.

3753904 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 13414 + ... + 13690.

Almost surely, 2^3753904 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 3753904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4584776).

3753904 is an abundant number, since it is smaller than the sum of its proper divisors (5415648).

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

3753904 is a wasteful number, since it uses less digits than its factorization.

3753904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 31.

The square root of 3753904 is about 1937.4994193548. The cubic root of 3753904 is about 155.4155205356.

The spelling of 3753904 in words is "three million, seven hundred fifty-three thousand, nine hundred four".