34979220 has 72 divisors (see below), whose sum is σ = 109778760. Its totient is φ = 9004800.

The previous prime is 34979207. The next prime is 34979221. The reversal of 34979220 is 2297943.

34979220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2762244 + 32216976 = 1662^2 + 5676^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34979221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1870 + ... + 8570.

It is an arithmetic number, because the mean of its divisors is an integer number (1524705).

Almost surely, 2^34979220 is an apocalyptic number.

34979220 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 34979220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54889380).

34979220 is an abundant number, since it is smaller than the sum of its proper divisors (74799540).

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

34979220 is a wasteful number, since it uses less digits than its factorization.

34979220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6745 (or 6740 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 34979220 is about 5914.3232918061. The cubic root of 34979220 is about 327.0418822431.

The spelling of 34979220 in words is "thirty-four million, nine hundred seventy-nine thousand, two hundred twenty".