3720384 has 56 divisors (see below), whose sum is σ = 10942320. Its totient is φ = 1239552.

The previous prime is 3720383. The next prime is 3720391. The reversal of 3720384 is 4830273.

3720384 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

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 (3720383) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 652 + ... + 2804.

Almost surely, 2^3720384 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 3720384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5471160).

3720384 is an abundant number, since it is smaller than the sum of its proper divisors (7221936).

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

3720384 is a wasteful number, since it uses less digits than its factorization.

3720384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2174 (or 2158 counting only the distinct ones).

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

The square root of 3720384 is about 1928.8296969925. The cubic root of 3720384 is about 154.9515491992.

The spelling of 3720384 in words is "three million, seven hundred twenty thousand, three hundred eighty-four".