3876000 has 192 divisors, whose sum is σ = 14152320. Its totient is φ = 921600.

The previous prime is 3875987. The next prime is 3876007. The reversal of 3876000 is 6783.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3876007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 203991 + ... + 204009.

It is an arithmetic number, because the mean of its divisors is an integer number (73710).

Almost surely, 2^3876000 is an apocalyptic number.

3876000 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 3876000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7076160).

3876000 is an abundant number, since it is smaller than the sum of its proper divisors (10276320).

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

3876000 is a wasteful number, since it uses less digits than its factorization.

3876000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 3876000 is about 1968.7559523720. The cubic root of 3876000 is about 157.0825427721.

The spelling of 3876000 in words is "three million, eight hundred seventy-six thousand".