34105680 has 240 divisors, whose sum is σ = 134169984. Its totient is φ = 7603200.

The previous prime is 34105679. The next prime is 34105693. The reversal of 34105680 is 8650143.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 337630 + ... + 337730.

Almost surely, 2^34105680 is an apocalyptic number.

34105680 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 34105680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67084992).

34105680 is an abundant number, since it is smaller than the sum of its proper divisors (100064304).

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

34105680 is a wasteful number, since it uses less digits than its factorization.

34105680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 34105680 is about 5840.0068493111. The cubic root of 34105680 is about 324.2964821595.

The spelling of 34105680 in words is "thirty-four million, one hundred five thousand, six hundred eighty".