34426000 has 80 divisors (see below), whose sum is σ = 95172480. Its totient is φ = 11798400.

The previous prime is 34425977. The next prime is 34426013. The reversal of 34426000 is 62443.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12771 + ... + 15229.

It is an arithmetic number, because the mean of its divisors is an integer number (1189656).

Almost surely, 2^34426000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34426000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47586240).

34426000 is an abundant number, since it is smaller than the sum of its proper divisors (60746480).

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

34426000 is a wasteful number, since it uses less digits than its factorization.

34426000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2489 (or 2473 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 34426000 is about 5867.3673823956. The cubic root of 34426000 is about 325.3085826523.

Adding to 34426000 its reverse (62443), we get a palindrome (34488443).

The spelling of 34426000 in words is "thirty-four million, four hundred twenty-six thousand".