34453680 has 80 divisors (see below), whose sum is σ = 108073440. Its totient is φ = 9078784.

The previous prime is 34453667. The next prime is 34453729. The reversal of 34453680 is 8635443.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20554 + ... + 22166.

It is an arithmetic number, because the mean of its divisors is an integer number (1350918).

Almost surely, 2^34453680 is an apocalyptic number.

34453680 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 34453680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54036720).

34453680 is an abundant number, since it is smaller than the sum of its proper divisors (73619760).

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

34453680 is a wasteful number, since it uses less digits than its factorization.

34453680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1718 (or 1712 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The square root of 34453680 is about 5869.7257176124. The cubic root of 34453680 is about 325.3957467075.

The spelling of 34453680 in words is "thirty-four million, four hundred fifty-three thousand, six hundred eighty".