34380240 has 80 divisors (see below), whose sum is σ = 110040576. Its totient is φ = 8870400.

The previous prime is 34380217. The next prime is 34380251. The reversal of 34380240 is 4208343.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 34380240.

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, 5130 + ... + 9750.

Almost surely, 2^34380240 is an apocalyptic number.

34380240 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 34380240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55020288).

34380240 is an abundant number, since it is smaller than the sum of its proper divisors (75660336).

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

34380240 is a wasteful number, since it uses less digits than its factorization.

34380240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4668 (or 4662 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 34380240 is about 5863.4665514523. The cubic root of 34380240 is about 325.1643823260.

Adding to 34380240 its reverse (4208343), we get a palindrome (38588583).

The spelling of 34380240 in words is "thirty-four million, three hundred eighty thousand, two hundred forty".