34164880 has 40 divisors (see below), whose sum is σ = 80747064. Its totient is φ = 13440000.

The previous prime is 34164877. The next prime is 34164899. The reversal of 34164880 is 8846143.

It can be written as a sum of positive squares in 4 ways, for example, as 12544 + 34152336 = 112^2 + 5844^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1380 + ... + 8380.

Almost surely, 2^34164880 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 34164880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40373532).

34164880 is an abundant number, since it is smaller than the sum of its proper divisors (46582184).

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

34164880 is a wasteful number, since it uses less digits than its factorization.

34164880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7075 (or 7069 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 34.

The square root of 34164880 is about 5845.0731389778. The cubic root of 34164880 is about 324.4840096172.

The spelling of 34164880 in words is "thirty-four million, one hundred sixty-four thousand, eight hundred eighty".