3723904 has 32 divisors (see below), whose sum is σ = 7588800. Its totient is φ = 1819392.

The previous prime is 3723893. The next prime is 3723913. The reversal of 3723904 is 4093273.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×3723904² = 27734922002432, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5707 + ... + 6325.

It is an arithmetic number, because the mean of its divisors is an integer number (237150).

Almost surely, 2^3723904 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 3723904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3794400).

3723904 is an abundant number, since it is smaller than the sum of its proper divisors (3864896).

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

3723904 is an equidigital number, since it uses as much as digits as its factorization.

3723904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 680 (or 668 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 28.

The square root of 3723904 is about 1929.7419516609. The cubic root of 3723904 is about 155.0004023576. Note that the first 3 decimals are identical.

It can be divided in two parts, 3 and 723904, that multiplied together give a palindrome (2171712).

The spelling of 3723904 in words is "three million, seven hundred twenty-three thousand, nine hundred four".