4334000 has 80 divisors (see below), whose sum is σ = 11490336. Its totient is φ = 1568000.

The previous prime is 4333999. The next prime is 4334003. The reversal of 4334000 is 4334.

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

It is not an unprimeable number, because it can be changed into a prime (4334003) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 21902 + ... + 22098.

Almost surely, 2^4334000 is an apocalyptic number.

4334000 is a gapful number since it is divisible by the number (40) 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 4334000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5745168).

4334000 is an abundant number, since it is smaller than the sum of its proper divisors (7156336).

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

4334000 is a wasteful number, since it uses less digits than its factorization.

4334000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 14.

The square root of 4334000 is about 2081.8261214616. The cubic root of 4334000 is about 163.0408017596.

Adding to 4334000 its reverse (4334), we get a palindrome (4338334).

4334000 divided by its reverse (4334) gives a cube (1000 = 10³).

It can be divided in two parts, 43 and 34000, that added together give a palindrome (34043).

The spelling of 4334000 in words is "four million, three hundred thirty-four thousand".