34219000 has 64 divisors (see below), whose sum is σ = 84333600. Its totient is φ = 12960000.

The previous prime is 34218979. The next prime is 34219001. The reversal of 34219000 is 91243.

It is a super-2 number, since 2×34219000² = 2341879922000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34219001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18100 + ... + 19900.

Almost surely, 2^34219000 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 34219000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42166800).

34219000 is an abundant number, since it is smaller than the sum of its proper divisors (50114600).

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

34219000 is a wasteful number, since it uses less digits than its factorization.

34219000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1841 (or 1827 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

The square root of 34219000 is about 5849.7008470519. The cubic root of 34219000 is about 324.6552557431.

It can be divided in two parts, 3421 and 9000, that added together give a palindrome (12421).

The spelling of 34219000 in words is "thirty-four million, two hundred nineteen thousand".