34134000 has 80 divisors (see below), whose sum is σ = 110067360. Its totient is φ = 9100800.

The previous prime is 34133989. The next prime is 34134059. The reversal of 34134000 is 43143.

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

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

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, 3156 + ... + 8844.

It is an arithmetic number, because the mean of its divisors is an integer number (1375842).

Almost surely, 2^34134000 is an apocalyptic number.

34134000 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 34134000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55033680).

34134000 is an abundant number, since it is smaller than the sum of its proper divisors (75933360).

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

34134000 is a wasteful number, since it uses less digits than its factorization.

34134000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5715 (or 5699 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 34134000 is about 5842.4310008763. The cubic root of 34134000 is about 324.3862182925.

Adding to 34134000 its reverse (43143), we get a palindrome (34177143).

The spelling of 34134000 in words is "thirty-four million, one hundred thirty-four thousand".