34810220 has 48 divisors (see below), whose sum is σ = 79234848. Its totient is φ = 12794880.

The previous prime is 34810219. The next prime is 34810267. The reversal of 34810220 is 2201843.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 34810192 and 34810201.

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, 13430 + ... + 15810.

It is an arithmetic number, because the mean of its divisors is an integer number (1650726).

Almost surely, 2^34810220 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 34810220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39617424).

34810220 is an abundant number, since it is smaller than the sum of its proper divisors (44424628).

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

34810220 is a wasteful number, since it uses less digits than its factorization.

34810220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2450 (or 2448 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 34810220 is about 5900.0186440383. The cubic root of 34810220 is about 326.5143373261.

The spelling of 34810220 in words is "thirty-four million, eight hundred ten thousand, two hundred twenty".