34779416 has 72 divisors (see below), whose sum is σ = 80845380. Its totient is φ = 13982976.

The previous prime is 34779413. The next prime is 34779449. The reversal of 34779416 is 61497743.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34779413) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 113135 + ... + 113441.

Almost surely, 2^34779416 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 34779416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40422690).

34779416 is an abundant number, since it is smaller than the sum of its proper divisors (46065964).

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

34779416 is a wasteful number, since it uses less digits than its factorization.

34779416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 333 counting only the distinct ones).

The product of its digits is 127008, while the sum is 41.

The square root of 34779416 is about 5897.4075660412. The cubic root of 34779416 is about 326.4179966929.

The spelling of 34779416 in words is "thirty-four million, seven hundred seventy-nine thousand, four hundred sixteen".