34255680 has 112 divisors (see below), whose sum is σ = 115214400. Its totient is φ = 8593408.

The previous prime is 34255667. The next prime is 34255687. The reversal of 34255680 is 8655243.

34255680 = T₁₉₉₉ + T₂₀₀₀ + ... + T₂₀₁₅.

It is a super-2 number, since 2×34255680² = 2346903224524800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34255687) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15271 + ... + 17369.

It is an arithmetic number, because the mean of its divisors is an integer number (1028700).

Almost surely, 2^34255680 is an apocalyptic number.

34255680 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 34255680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57607200).

34255680 is an abundant number, since it is smaller than the sum of its proper divisors (80958720).

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

34255680 is a wasteful number, since it uses less digits than its factorization.

34255680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2136 (or 2126 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The square root of 34255680 is about 5852.8352103916. The cubic root of 34255680 is about 324.7712157105.

The spelling of 34255680 in words is "thirty-four million, two hundred fifty-five thousand, six hundred eighty".