34455680 has 64 divisors (see below), whose sum is σ = 94150080. Its totient is φ = 11811840.

The previous prime is 34455677. The next prime is 34455689. The reversal of 34455680 is 8655443.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 34455680.

It is not an unprimeable number, because it can be changed into a prime (34455689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 635 + ... + 8325.

It is an arithmetic number, because the mean of its divisors is an integer number (1471095).

Almost surely, 2^34455680 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 34455680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47075040).

34455680 is an abundant number, since it is smaller than the sum of its proper divisors (59694400).

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

34455680 is an equidigital number, since it uses as much as digits as its factorization.

34455680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7717 (or 7705 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 35.

The square root of 34455680 is about 5869.8960808519. The cubic root of 34455680 is about 325.4020428797.

The spelling of 34455680 in words is "thirty-four million, four hundred fifty-five thousand, six hundred eighty".