34080240 has 80 divisors (see below), whose sum is σ = 111876768. Its totient is φ = 8552448.

The previous prime is 34080187. The next prime is 34080251. The reversal of 34080240 is 4208043.

It is a happy number.

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

It is a super-2 number, since 2×34080240² = 2322925516915200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 97 + ... + 8256.

Almost surely, 2^34080240 is an apocalyptic number.

34080240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34080240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55938384).

34080240 is an abundant number, since it is smaller than the sum of its proper divisors (77796528).

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

34080240 is a wasteful number, since it uses less digits than its factorization.

34080240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8386 (or 8380 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 34080240 is about 5837.8283633557. The cubic root of 34080240 is about 324.2158293703.

Adding to 34080240 its reverse (4208043), we get a palindrome (38288283).

The spelling of 34080240 in words is "thirty-four million, eighty thousand, two hundred forty".