34344880 has 80 divisors (see below), whose sum is σ = 84307104. Its totient is φ = 12994560.

The previous prime is 34344859. The next prime is 34344889. The reversal of 34344880 is 8844343.

34344880 = T₁₁₂ + T₁₁₃ + ... + T₅₉₁.

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

It is not an unprimeable number, because it can be changed into a prime (34344889) 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, 121219 + ... + 121501.

Almost surely, 2^34344880 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 34344880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42153552).

34344880 is an abundant number, since it is smaller than the sum of its proper divisors (49962224).

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

34344880 is a wasteful number, since it uses less digits than its factorization.

34344880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 34.

The square root of 34344880 is about 5860.4504946292. The cubic root of 34344880 is about 325.0528671394.

The spelling of 34344880 in words is "thirty-four million, three hundred forty-four thousand, eight hundred eighty".