3784000 has 112 divisors (see below), whose sum is σ = 10460736. Its totient is φ = 1344000.

The previous prime is 3783991. The next prime is 3784003. The reversal of 3784000 is 4873.

3784000 is digitally balanced in base 2, 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 (22).

It is a zygodrome in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3784003) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 87979 + ... + 88021.

Almost surely, 2^3784000 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 3784000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5230368).

3784000 is an abundant number, since it is smaller than the sum of its proper divisors (6676736).

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

3784000 is a wasteful number, since it uses less digits than its factorization.

3784000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 3784000 is about 1945.2506265261. The cubic root of 3784000 is about 155.8297507128.

Adding to 3784000 its reverse (4873), we get a palindrome (3788873).

The spelling of 3784000 in words is "three million, seven hundred eighty-four thousand".