34779060 has 72 divisors (see below), whose sum is σ = 107767296. Its totient is φ = 9074880.

The previous prime is 34779053. The next prime is 34779061. The reversal of 34779060 is 6097743.

34779060 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (34779061) 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, 6405 + ... + 10515.

It is an arithmetic number, because the mean of its divisors is an integer number (1496768).

Almost surely, 2^34779060 is an apocalyptic number.

34779060 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 34779060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53883648).

34779060 is an abundant number, since it is smaller than the sum of its proper divisors (72988236).

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

34779060 is a wasteful number, since it uses less digits than its factorization.

34779060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4173 (or 4168 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 34779060 is about 5897.3773832103. The cubic root of 34779060 is about 326.4168829575.

The spelling of 34779060 in words is "thirty-four million, seven hundred seventy-nine thousand, sixty".