34080640 has 128 divisors (see below), whose sum is σ = 91653120. Its totient is φ = 12011520.

The previous prime is 34080619. The next prime is 34080647. The reversal of 34080640 is 4608043.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×34080640² = 2322980045619200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34080647) 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, 330829 + ... + 330931.

It is an arithmetic number, because the mean of its divisors is an integer number (716040).

Almost surely, 2^34080640 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 34080640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45826560).

34080640 is an abundant number, since it is smaller than the sum of its proper divisors (57572480).

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

34080640 is a wasteful number, since it uses less digits than its factorization.

34080640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 34080640 is about 5837.8626225700. The cubic root of 34080640 is about 324.2170978065.

Adding to 34080640 its reverse (4608043), we get a palindrome (38688683).

The spelling of 34080640 in words is "thirty-four million, eighty thousand, six hundred forty".