34779220 has 72 divisors (see below), whose sum is σ = 88712064. Its totient is φ = 11398464.

The previous prime is 34779209. The next prime is 34779233. The reversal of 34779220 is 2297743.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21769 + ... + 23311.

It is an arithmetic number, because the mean of its divisors is an integer number (1232112).

Almost surely, 2^34779220 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 34779220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44356032).

34779220 is an abundant number, since it is smaller than the sum of its proper divisors (53932844).

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

34779220 is a wasteful number, since it uses less digits than its factorization.

34779220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1589 (or 1580 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 34.

The square root of 34779220 is about 5897.3909485467. The cubic root of 34779220 is about 326.4173835136.

The spelling of 34779220 in words is "thirty-four million, seven hundred seventy-nine thousand, two hundred twenty".