34084180 has 48 divisors (see below), whose sum is σ = 77510160. Its totient is φ = 12515328.

The previous prime is 34084163. The next prime is 34084187. The reversal of 34084180 is 8148043.

It can be written as a sum of positive squares in 8 ways, for example, as 8561476 + 25522704 = 2926^2 + 5052^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34084187) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87426 + ... + 87814.

It is an arithmetic number, because the mean of its divisors is an integer number (1614795).

Almost surely, 2^34084180 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 34084180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38755080).

34084180 is an abundant number, since it is smaller than the sum of its proper divisors (43425980).

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

34084180 is a wasteful number, since it uses less digits than its factorization.

34084180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 748 (or 746 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 34084180 is about 5838.1658078544. The cubic root of 34084180 is about 324.2283230337.

The spelling of 34084180 in words is "thirty-four million, eighty-four thousand, one hundred eighty".