3731840 has 128 divisors (see below), whose sum is σ = 11016000. Its totient is φ = 1204224.

The previous prime is 3731821. The next prime is 3731843. The reversal of 3731840 is 481373.

It is a tau number, because it is divible by the number of its divisors (128).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3731843) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 219512 + ... + 219528.

Almost surely, 2^3731840 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 3731840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5508000).

3731840 is an abundant number, since it is smaller than the sum of its proper divisors (7284160).

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

3731840 is an equidigital number, since it uses as much as digits as its factorization.

3731840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 3731840 is about 1931.7970907940. The cubic root of 3731840 is about 155.1104311891.

The spelling of 3731840 in words is "three million, seven hundred thirty-one thousand, eight hundred forty".