3861000 has 256 divisors, whose sum is σ = 15724800. Its totient is φ = 864000.

The previous prime is 3860993. The next prime is 3861007. The reversal of 3861000 is 1683.

It is an interprime number because it is at equal distance from previous prime (3860993) and next prime (3861007).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3861007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 296994 + ... + 297006.

It is an arithmetic number, because the mean of its divisors is an integer number (61425).

Almost surely, 2^3861000 is an apocalyptic number.

3861000 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 3861000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7862400).

3861000 is an abundant number, since it is smaller than the sum of its proper divisors (11863800).

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

3861000 is a wasteful number, since it uses less digits than its factorization.

3861000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 3861000 is about 1964.9427472575. The cubic root of 3861000 is about 156.8796459527.

Adding to 3861000 its reverse (1683), we get a palindrome (3862683).

The spelling of 3861000 in words is "three million, eight hundred sixty-one thousand".