34404080 has 80 divisors (see below), whose sum is σ = 83967840. Its totient is φ = 13095936.

The previous prime is 34404077. The next prime is 34404089. The reversal of 34404080 is 8040443.

34404080 = T₁ + T₂ + ... + T₅₉₀.

34404080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

34404080 is a nontrivial binomial coefficient, being equal to C(592, 3).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34404089) by changing a digit.

It is the 590-th tetrahedral number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 174542 + ... + 174738.

It is an arithmetic number, because the mean of its divisors is an integer number (1049598).

Almost surely, 2^34404080 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 34404080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41983920).

34404080 is an abundant number, since it is smaller than the sum of its proper divisors (49563760).

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

34404080 is a wasteful number, since it uses less digits than its factorization.

34404080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 34404080 is about 5865.4991262466. The cubic root of 34404080 is about 325.2395236260.

The spelling of 34404080 in words is "thirty-four million, four hundred four thousand, eighty".