34541320 has 64 divisors (see below), whose sum is σ = 87739200. Its totient is φ = 12122880.

The previous prime is 34541303. The next prime is 34541321. The reversal of 34541320 is 2314543.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 34541291 and 34541300.

It is not an unprimeable number, because it can be changed into a prime (34541321) 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, 11407 + ... + 14113.

It is an arithmetic number, because the mean of its divisors is an integer number (1370925).

Almost surely, 2^34541320 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 34541320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43869600).

34541320 is an abundant number, since it is smaller than the sum of its proper divisors (53197880).

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

34541320 is a wasteful number, since it uses less digits than its factorization.

34541320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2758 (or 2754 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 34541320 is about 5877.1864016721. The cubic root of 34541320 is about 325.6714167004.

Adding to 34541320 its reverse (2314543), we get a palindrome (36855863).

It can be divided in two parts, 3454 and 1320, that added together give a palindrome (4774).

The spelling of 34541320 in words is "thirty-four million, five hundred forty-one thousand, three hundred twenty".