34077860 has 48 divisors (see below), whose sum is σ = 76867056. Its totient is φ = 12644352.

The previous prime is 34077821. The next prime is 34077907. The reversal of 34077860 is 6877043.

34077860 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 8 ways, for example, as 6431296 + 27646564 = 2536^2 + 5258^2 .

It is a super-2 number, since 2×34077860² = 2322601084359200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 34077860.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 24134 + ... + 25506.

It is an arithmetic number, because the mean of its divisors is an integer number (1601397).

Almost surely, 2^34077860 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 34077860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38433528).

34077860 is an abundant number, since it is smaller than the sum of its proper divisors (42789196).

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

34077860 is a wasteful number, since it uses less digits than its factorization.

34077860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1472 (or 1470 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 35.

The square root of 34077860 is about 5837.6245168733. The cubic root of 34077860 is about 324.2082819701.

The spelling of 34077860 in words is "thirty-four million, seventy-seven thousand, eight hundred sixty".