34779272 has 96 divisors (see below), whose sum is σ = 79161600. Its totient is φ = 14256000.

The previous prime is 34779271. The next prime is 34779281. The reversal of 34779272 is 27297743.

34779272 is nontrivially palindromic in base 3.

It is not an unprimeable number, because it can be changed into a prime (34779271) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 570122 + ... + 570182.

It is an arithmetic number, because the mean of its divisors is an integer number (824600).

Almost surely, 2^34779272 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 34779272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39580800).

34779272 is an abundant number, since it is smaller than the sum of its proper divisors (44382328).

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

34779272 is a wasteful number, since it uses less digits than its factorization.

34779272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 124 counting only the distinct ones).

The product of its digits is 148176, while the sum is 41.

The square root of 34779272 is about 5897.3953572743. The cubic root of 34779272 is about 326.4175461941.

The spelling of 34779272 in words is "thirty-four million, seven hundred seventy-nine thousand, two hundred seventy-two".