34108680 has 128 divisors (see below), whose sum is σ = 108241920. Its totient is φ = 8586240.

The previous prime is 34108673. The next prime is 34108691. The reversal of 34108680 is 8680143.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 197074 + ... + 197246.

It is an arithmetic number, because the mean of its divisors is an integer number (845640).

Almost surely, 2^34108680 is an apocalyptic number.

34108680 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 34108680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54120960).

34108680 is an abundant number, since it is smaller than the sum of its proper divisors (74133240).

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

34108680 is a wasteful number, since it uses less digits than its factorization.

34108680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 34108680 is about 5840.2636926769. The cubic root of 34108680 is about 324.3059904576.

It can be divided in two parts, 3410 and 8680, that added together give a triangular number (12090 = T₁₅₅).

The spelling of 34108680 in words is "thirty-four million, one hundred eight thousand, six hundred eighty".