34160000 has 160 divisors (see below), whose sum is σ = 98780880. Its totient is φ = 11520000.

The previous prime is 34159981. The next prime is 34160003. The reversal of 34160000 is 6143.

34160000 is nontrivially palindromic in base 3.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a nialpdrome in base 5.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34160003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 559970 + ... + 560030.

Almost surely, 2^34160000 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 34160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49390440).

34160000 is an abundant number, since it is smaller than the sum of its proper divisors (64620880).

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

34160000 is an frugal number, since it uses more digits than its factorization.

34160000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 34160000 is about 5844.6556784810. The cubic root of 34160000 is about 324.4685594691.

Adding to 34160000 its reverse (6143), we get a palindrome (34166143).

The spelling of 34160000 in words is "thirty-four million, one hundred sixty thousand".