3723840 has 112 divisors (see below), whose sum is σ = 13167360. Its totient is φ = 990720.

The previous prime is 3723809. The next prime is 3723847. The reversal of 3723840 is 483273.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (3723847) 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, 8425 + ... + 8855.

Almost surely, 2^3723840 is an apocalyptic number.

3723840 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3723840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6583680).

3723840 is an abundant number, since it is smaller than the sum of its proper divisors (9443520).

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

3723840 is a wasteful number, since it uses less digits than its factorization.

3723840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 457 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 3723840 is about 1929.7253690616. The cubic root of 3723840 is about 154.9995143932. Note that the first 3 decimals are identical.

The spelling of 3723840 in words is "three million, seven hundred twenty-three thousand, eight hundred forty".