3846000 has 80 divisors (see below), whose sum is σ = 12418848. Its totient is φ = 1024000.

The previous prime is 3845993. The next prime is 3846013. The reversal of 3846000 is 6483.

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

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5680 + ... + 6320.

Almost surely, 2^3846000 is an apocalyptic number.

3846000 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 3846000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6209424).

3846000 is an abundant number, since it is smaller than the sum of its proper divisors (8572848).

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

3846000 is a wasteful number, since it uses less digits than its factorization.

3846000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 667 (or 651 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 3846000 is about 1961.1221277626. The cubic root of 3846000 is about 156.6762229471.

The spelling of 3846000 in words is "three million, eight hundred forty-six thousand".