34459040 has 96 divisors (see below), whose sum is σ = 101533824. Its totient is φ = 10736640.

The previous prime is 34459031. The next prime is 34459091. The reversal of 34459040 is 4095443.

It is a junction number, because it is equal to n+sod(n) for n = 34458994 and 34459012.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10922 + ... + 13718.

It is an arithmetic number, because the mean of its divisors is an integer number (1057644).

Almost surely, 2^34459040 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 34459040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50766912).

34459040 is an abundant number, since it is smaller than the sum of its proper divisors (67074784).

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

34459040 is a wasteful number, since it uses less digits than its factorization.

34459040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2830 (or 2822 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 29.

The square root of 34459040 is about 5870.1822799637. The cubic root of 34459040 is about 325.4126199004.

The spelling of 34459040 in words is "thirty-four million, four hundred fifty-nine thousand, forty".