3878000 has 80 divisors (see below), whose sum is σ = 10755264. Its totient is φ = 1324800.

The previous prime is 3877999. The next prime is 3878003. The reversal of 3878000 is 8783.

3878000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3878003) 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, 13862 + ... + 14138.

Almost surely, 2^3878000 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 3878000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5377632).

3878000 is an abundant number, since it is smaller than the sum of its proper divisors (6877264).

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

3878000 is a wasteful number, since it uses less digits than its factorization.

3878000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 26.

The square root of 3878000 is about 1969.2638218380. The cubic root of 3878000 is about 157.1095561076.

The spelling of 3878000 in words is "three million, eight hundred seventy-eight thousand".