3731920 has 20 divisors (see below), whose sum is σ = 8676900. Its totient is φ = 1492736.

The previous prime is 3731909. The next prime is 3731933. The reversal of 3731920 is 291373.

3731920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1871424 + 1860496 = 1368^2 + 1364^2 .

It is a tau number, because it is divible by the number of its divisors (20).

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 3 ways as a sum of consecutive naturals, for example, 23245 + ... + 23404.

It is an arithmetic number, because the mean of its divisors is an integer number (433845).

Almost surely, 2^3731920 is an apocalyptic number.

It is an amenable number.

3731920 is an abundant number, since it is smaller than the sum of its proper divisors (4944980).

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

3731920 is a wasteful number, since it uses less digits than its factorization.

3731920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46662 (or 46656 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 25.

The square root of 3731920 is about 1931.8177967914. The cubic root of 3731920 is about 155.1115395562. Note that the first 3 decimals are identical.

The spelling of 3731920 in words is "three million, seven hundred thirty-one thousand, nine hundred twenty".