34014820 has 72 divisors (see below), whose sum is σ = 84603960. Its totient is φ = 11450880.

The previous prime is 34014809. The next prime is 34014847. The reversal of 34014820 is 2841043.

It can be written as a sum of positive squares in 4 ways, for example, as 906304 + 33108516 = 952^2 + 5754^2 .

It is a junction number, because it is equal to n+sod(n) for n = 34014791 and 34014800.

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, 59496 + ... + 60064.

It is an arithmetic number, because the mean of its divisors is an integer number (1175055).

Almost surely, 2^34014820 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 34014820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42301980).

34014820 is an abundant number, since it is smaller than the sum of its proper divisors (50589140).

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

34014820 is a wasteful number, since it uses less digits than its factorization.

34014820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 653 (or 644 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 34014820 is about 5832.2225609111. Note that the first 3 decimals coincide. The cubic root of 34014820 is about 324.0082429443.

Adding to 34014820 its reverse (2841043), we get a palindrome (36855863).

The spelling of 34014820 in words is "thirty-four million, fourteen thousand, eight hundred twenty".