34304640 has 128 divisors (see below), whose sum is σ = 115888320. Its totient is φ = 8601600.

The previous prime is 34304609. The next prime is 34304681. The reversal of 34304640 is 4640343.

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

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 34304640.

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, 32115 + ... + 33165.

Almost surely, 2^34304640 is an apocalyptic number.

34304640 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 34304640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57944160).

34304640 is an abundant number, since it is smaller than the sum of its proper divisors (81583680).

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

34304640 is a wasteful number, since it uses less digits than its factorization.

34304640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1090 (or 1078 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 34304640 is about 5857.0163052530. The cubic root of 34304640 is about 324.9258686938.

Adding to 34304640 its reverse (4640343), we get a palindrome (38944983).

The spelling of 34304640 in words is "thirty-four million, three hundred four thousand, six hundred forty".