34055440 has 40 divisors (see below), whose sum is σ = 79738200. Its totient is φ = 13526016.

The previous prime is 34055419. The next prime is 34055447. The reversal of 34055440 is 4455043.

34055440 = 21² + 22² + ... + 467².

It can be written as a sum of positive squares in 4 ways, for example, as 1245456 + 32809984 = 1116^2 + 5728^2 .

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

It is not an unprimeable number, because it can be changed into a prime (34055447) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10492 + ... + 13348.

It is an arithmetic number, because the mean of its divisors is an integer number (1993455).

Almost surely, 2^34055440 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 34055440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39869100).

34055440 is an abundant number, since it is smaller than the sum of its proper divisors (45682760).

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

34055440 is a wasteful number, since it uses less digits than its factorization.

34055440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3019 (or 3013 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 25.

The square root of 34055440 is about 5835.7038992738. The cubic root of 34055440 is about 324.1371669380.

The spelling of 34055440 in words is "thirty-four million, fifty-five thousand, four hundred forty".