34768680 has 128 divisors (see below), whose sum is σ = 110073600. Its totient is φ = 8773632.

The previous prime is 34768661. The next prime is 34768691. The reversal of 34768680 is 8686743.

It is a super-2 number, since 2×34768680² = 2417722217884800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 337509 + ... + 337611.

It is an arithmetic number, because the mean of its divisors is an integer number (859950).

Almost surely, 2^34768680 is an apocalyptic number.

34768680 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 34768680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55036800).

34768680 is an abundant number, since it is smaller than the sum of its proper divisors (75304920).

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

34768680 is a wasteful number, since it uses less digits than its factorization.

34768680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The square root of 34768680 is about 5896.4972653263. The cubic root of 34768680 is about 326.3844060937.

The spelling of 34768680 in words is "thirty-four million, seven hundred sixty-eight thousand, six hundred eighty".