34505120 has 96 divisors (see below), whose sum is σ = 89731152. Its totient is φ = 12460032.

The previous prime is 34505117. The next prime is 34505137. The reversal of 34505120 is 2150543.

It can be written as a sum of positive squares in 8 ways, for example, as 2650384 + 31854736 = 1628^2 + 5644^2 .

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 = 34505092 and 34505101.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 110084 + ... + 110396.

Almost surely, 2^34505120 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 34505120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44865576).

34505120 is an abundant number, since it is smaller than the sum of its proper divisors (55226032).

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

34505120 is a wasteful number, since it uses less digits than its factorization.

34505120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 34505120 is about 5874.1058894099. The cubic root of 34505120 is about 325.5576068619.

Adding to 34505120 its reverse (2150543), we get a palindrome (36655663).

The spelling of 34505120 in words is "thirty-four million, five hundred five thousand, one hundred twenty".