3834000 has 160 divisors (see below), whose sum is σ = 13927680. Its totient is φ = 1008000.

The previous prime is 3833989. The next prime is 3834013. The reversal of 3834000 is 4383.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53965 + ... + 54035.

It is an arithmetic number, because the mean of its divisors is an integer number (87048).

Almost surely, 2^3834000 is an apocalyptic number.

3834000 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 3834000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6963840).

3834000 is an abundant number, since it is smaller than the sum of its proper divisors (10093680).

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

3834000 is a wasteful number, since it uses less digits than its factorization.

3834000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 3834000 is about 1958.0602646497. The cubic root of 3834000 is about 156.5131033883.

Adding to 3834000 its reverse (4383), we get a palindrome (3838383).

The spelling of 3834000 in words is "three million, eight hundred thirty-four thousand".