34121680 has 40 divisors (see below), whose sum is σ = 80352000. Its totient is φ = 13473408.

The previous prime is 34121657. The next prime is 34121713. The reversal of 34121680 is 8612143.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3621 + ... + 9019.

It is an arithmetic number, because the mean of its divisors is an integer number (2008800).

Almost surely, 2^34121680 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34121680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40176000).

34121680 is an abundant number, since it is smaller than the sum of its proper divisors (46230320).

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

34121680 is a wasteful number, since it uses less digits than its factorization.

34121680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5491 (or 5485 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 34121680 is about 5841.3765500950. The cubic root of 34121680 is about 324.3471866416.

The spelling of 34121680 in words is "thirty-four million, one hundred twenty-one thousand, six hundred eighty".