34522080 has 192 divisors, whose sum is σ = 117573120. Its totient is φ = 8493056.

The previous prime is 34522079. The next prime is 34522091. The reversal of 34522080 is 8022543.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 34522080.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 585091 + ... + 585149.

It is an arithmetic number, because the mean of its divisors is an integer number (612360).

Almost surely, 2^34522080 is an apocalyptic number.

34522080 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 34522080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58786560).

34522080 is an abundant number, since it is smaller than the sum of its proper divisors (83051040).

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

34522080 is a wasteful number, since it uses less digits than its factorization.

34522080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 34522080 is about 5875.5493360196. The cubic root of 34522080 is about 325.6109376199.

It can be divided in two parts, 345 and 22080, that multiplied together give a square (7617600 = 2760²).

The spelling of 34522080 in words is "thirty-four million, five hundred twenty-two thousand, eighty".