34120820 has 48 divisors (see below), whose sum is σ = 75070800. Its totient is φ = 13009920.

The previous prime is 34120783. The next prime is 34120829. The reversal of 34120820 is 2802143.

It can be written as a sum of positive squares in 8 ways, for example, as 155236 + 33965584 = 394^2 + 5828^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 34120792 and 34120801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34120829) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51290 + ... + 51950.

It is an arithmetic number, because the mean of its divisors is an integer number (1563975).

Almost surely, 2^34120820 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 34120820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37535400).

34120820 is an abundant number, since it is smaller than the sum of its proper divisors (40949980).

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

34120820 is a wasteful number, since it uses less digits than its factorization.

34120820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 788 (or 786 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 34120820 is about 5841.3029368455. The cubic root of 34120820 is about 324.3444616788.

Adding to 34120820 its reverse (2802143), we get a palindrome (36922963).

The spelling of 34120820 in words is "thirty-four million, one hundred twenty thousand, eight hundred twenty".